If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f o g)(x)?

Answers

Answer 1

Answer:

(f o g)(x) = 3x^2 + 5

Step-by-step explanation:

(f o g)(x) is a composite function in which g(x) = x^2 + 1 becomes the input to f(x) = 3x + 2.

Write out f(x) = 3x + 2 leaving a blank for each x:

f(    ) = 3(    ) + 2

Now insert g(x) into the first set of parentheses and x^2 + 1 into the second:

(f o g)(x) = 3(x^2 + 1) + 2, or, after simplification,

(f o g)(x) = 3x^2 + 5


Related Questions

Which regular polygon would have each of its interior angles measure 140°?

octagon
nonagon
decagon
heptagon

Answers

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

please help on this question!!!!!

Answers

Answer: 65

Step-by-step explanation:

Which expression is equivalent to d-6d-3dd−6d−3d?

Answers

From the given expression in our example we have say

y = d-6d-3dd−6d−3d,

the equivalent expression would be  y = -14-3dd

We can see two different terms

the "d" terms and the "dd" terms

Let us collect like terms

we have

y= d-6d-6d-3d-3dd

y = d-12d-3d-3dd

y= d-15d-3dd

y = -14-3dd

Hence the equivalent expression is y = -14-3dd

Learn more amount collecting like terms in algebraic expression https://brainly.com/question/11172004

Answer:

-8d

guessed and it was right :P

Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to

Answers

The answer has to 2.26 because 2.26 is bigger than 2.25

Answer:

b.

Step-by-step explanation:

si f(X)=1/X2, determina el conjunto finito de pares ordenados para X={1,3,7,11,13}

Answers

Answer:

El conjunto finito de pares ordenados son;

(1, 1), (1, 1/9), (1, 1/49), (1, 1/121), (1, 1/169)

Step-by-step explanation:

si f (X) = 1 / X2, determine el conjunto finito de pares ordenados para X = {1,3,7,11,13}

Dado que f (X) = 1 / X²

Para X = {1, 3, 7, 11, 13}

Tenemos;

f (X) = 1 / X²

f (1) = 1 / 1² = 1, Por lo tanto, tenemos el primer par ordenado, (1, 1)

f (3) = 1 / 3² = 1/9, por lo tanto, tenemos el segundo par ordenado (1, 1/9) ≈ (1. 0.11)

f (7) = 1 / 7² = 1/49, por lo tanto, tenemos el tercer par ordenado (1, 1/49) ≈ (1. 0.02)

f (11) = 1 / 11² = 1/121, por lo tanto, tenemos el cuarto par ordenado (1, 1/121) ≈ (1. 0083)

f (13) = 1 / 13² = 1/169, por lo tanto, tenemos el quinto par ordenado (1, 1/169) ≈ (1. 0.006)

A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has
the following help in covering the costs of school.
• An academic scholarship of $8,200.
• Other scholarships and grants of $7.400.
Grandparents pay $1,000
.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months ?
$690
S820
S1 660
$2 350

Answers

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Amount and interest

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Learn more on the amount here:
https://brainly.com/question/25109150

Determine the measure of angle ECB.
Question 1 options:

1)

88.25°

2)

183.5°

3)

176.5°

4)

91.75°

Answers

Answer:

4) 91.75

Step-by-step explanation:

7x+20+9x-4=180

16x=164

x=10.25

7(10.25)+20=

71.75+20=91.75

Answer:

You are correct 91.75 is the answer

Step-by-step explanation:

This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so

[tex]7x + 20 + 9x - 4 = 180[/tex]

[tex]16x + 16 = 180[/tex]

[tex]16x = 164[/tex]

[tex]x = 10 \frac{4}{16} [/tex]

[tex]x = 10.25[/tex]

Plug 10.25 into 7x+20

[tex]7(10.25) + 20 = 91.75[/tex]

You are correct

What’s the answer to this?

Answers

Answer:

B is the answer

Step-by-step explanation:

la probabilidad de que un caballo viva 20 años es dos tercios y la de una vaca viva 20 años es decir 3 puntos Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años​

Answers

Answer:

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.

Step-by-step explanation:

Probabilidades Independientes:

Quanto las probabilidades de dos eventos son independientes, la probabilidad de los dos ocurrir simultáneamente es la multiplicacion de las dos probabilidades.

La probabilidad de que un caballo viva 20 años es dos tercios

Entonces [tex]P(C) = \frac{2}{3}[/tex]

La de una vaca viva 20 años es

Incomplete, entonces dire que es [tex]P(V) = \frac{a}{b}[/tex]

Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años​

[tex]P(C \cap V) = P(C) \times P(V) = \frac{2}{3}*\frac{a}{b} = \frac{2a}{3b}[/tex]

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].

Sean [tex]A[/tex] y [tex]B[/tex] dos eventos independientes aunque no mutuamente excluyentes, es decir, que la esperanza de vida del caballo ([tex]A[/tex]) no dependa de la esperanza de vida de la vaca ([tex]B[/tex]) y viceversa y que pueden ocurrir al mismo tiempo.

En este caso, la probabilidad de que tanto el caballo como la vaca vivan 20 años equivale a una operación de intersección que se manifiesta en la siguiente ecuación:

[tex]P(A \cap B) = P(A)\cdot P(B)[/tex] (1)

Si sabemos que [tex]P(A) = \frac{2}{3}[/tex] y [tex]P(B) = \frac{3}{5}[/tex], entonces la probabilidad de que tanto caballo como la vaca vivan 20 años es:

[tex]P(A\cap B) = \frac{2}{3}\times \frac{3}{5}[/tex]

[tex]P(A\cap B) = \frac{2}{5}[/tex]

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].

Invitamos cordialmente a ver esta pregunta sobre probablidades: https://brainly.com/question/24290732

Nota - El enunciado original presenta omisiones y errores tipográficos, la forma completa se presenta a continuación:

La probabilidad de que un caballo viva 20 años es de dos tercios y la de que una vaca viva 20 años es de tres quintos. ¿Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años?

What is the perimeter of triangle OJL?

A.24, B.23, C. 19, D.17

Answers

Answer: 24

Step-by-step explanation:

What’s 123988+81937297+81937192827-29283729?

Answers

Answer:

81989970383

Step-by-step explanation:

Helppppp meeeee!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

I need help on this..... FAST. Think you can help me?

Answers

Answer:

.si sey el senocar 18

Step-by-step explanation:.basflone ne ombla

Megan bought two baseball gloves
and one baseball bat. She paid for 40%
with her birthday money and her uncle
paid the remaining amount. How much
did Megan pay and how much did her
uncle pay?

Answers

well if she payed 40% and an average baseball glove costs $120 – $300

and a bat costs $75-$185. that would mean she spent around $197 or $485

which would mean

40% out of 197 is 78.8

and 291

i believe is the correct answer

Is there enough information to determine if the following triangles are similar? Justify your response.​

Answers

Answer:

No.

Step-by-step explanation:

Triangle DFE justifies itself with the SAS (side-angle-side) postulate, while Triangle ABC simply shows that ∡B & A are similar. They are not justified by the same standard, and so there is no way to tell if these triangles are similar.

What is the relationship between angles 1, 2, and 6?

A. they are vertical
B. they are supplementary
C. they are complementary

Answers

C I hope I’m right I’m glad to help you

Answer:

B) they are supplementary

(supplementary angles add up to a80 degrees)

Step-by-step explanation:

what is the length of x ​

Answers

Answer:

20

Step-by-step explanation:

each of the side lengths are multiplied by 2.5

PLS ANSWER ITS URGENT


Suppose a new regulation states that the maximum angle of a ramp for wheelchairs is 9º. At least how

long must the new ramp be? Round to the nearest tenth of a foot.

Answers

Answer:

The length of the ramp must be at least 14.71 feet

Step-by-step explanation:

Given

[tex]BC = 2.3ft[/tex]

[tex]\theta = 9^\circ[/tex]

See attachment for complete figure

Required

Length of the ramp (z)

To do this, we consider sin of angle A ([tex]\theta[/tex]).

So, we have:

[tex]sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]sin(9)= \frac{2.3}{z}[/tex]

Make z the subject

[tex]z= \frac{2.3}{sin(9)}[/tex]

[tex]z = \frac{2.3}{0.1564}[/tex]

[tex]z = 14.71 ft[/tex]

The length of the ramp must be at least 14.71 feet

Magnetic attraction is a property that makes two magnets stick together. It occurs when
Plzzzzzzzzzzzzzzzzzzzzz
first to answer get BRANLIEST

Answers

Answer:

When two like-poles point together.

Step-by-step explanation:

When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up. So the magnets will push apart (repel). ... It's only when you hold unlike-poles together (a north pointing to a south) that magnets stick together (they are attracted).

Answer:

When two like-poles point together, the arrows from the two magnets point in opposite directions and the field lines cannot join up. So the magnets will push apart. It's only when you hold unlike-poles together that magnets stick together.

Step-by-step explanation:

3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
e, devido a escalas de trabalho, a cada 12 dias Mateus vai à praia com seus pais. Um belo dia Mans
recebeu a visita do seu avô, do seu tio e foi à praia com seus pais (com o avô e o tio que o visitavam nese
dia). Quantos dias depois este acontecimento se repetirà?​

Answers

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

4 divided by the sum of h and 7 using fraction

Answers

Answer:

4/5+7

or

   4

_____

 h+7

2. Divide using the synthetic division.
--7| 1 8 -49 -392

Answers

Answer:  goole

Step-by-step explanation:

49-392 +7/ 18

help find the area I’ll give Brainly

Answers

Ok let's do this.

First we will cut of the triangle that is marked with red dotted line and pop it on the other side. Then you get a rectangle!! All you have to do now is multiply 21.5*20=410. HAPPY TO HELP!

Answer:

430

Step-by-step explanation:

Area = (base)(height)

A = (20)(21.5)

(20)(21.5) = 430

A = 430

3 points
2. Faith was selling her old math book online. The book originally cost her
$150. Based on her research, she can sell the book for $67.50. What
percent of the original cost of the book can Faith earn back by selling her
book?

Answers

Answer:

45%

Step-by-step explanation:

45%
Hope this helps
Have a nice day.
And god bless you

Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).

GRAPH AFTERWARDS/TELL ME POINTS TO PUT ON GRAPH I BEG YOU

Answers

Answer:

a=3; (3,5) and (4,0) for the graph  

Step-by-step explanation:

ax-y=4

x=3, y=5 so...

a(3)-5=4

3a-5=4

+5 +5

3a=9

/3 .  /3

a=3

For the graph, use (3,5) and substitute x and y for anything:

ax-y=4

if x=0...

a(0)-y=4

-y=4

y=4

a=3; (3,5) and (4,0) for the graph!

NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest


Find the measure of angle C
show work and explain!

Answers

Answer:

Angle C =  45°

Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

So if ∠A = 45° then ∠C also equals 45°

As it is a parallelogram

[tex]\\ \sf\longmapsto <B\cong <D[/tex]

[tex]\\ \sf\longmapsto <A\cong <C[/tex]

<A=45°[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

If ST = 17 and RT = 61, find RS.
what is it??

Answers

Answer:

24

Step-by-step explanation:

PLEASE HELP Find the slope and equation of the tangent to each of the following curves at the given point:

Answers

Answer:

Step-by-step explanation:

To find the slope of the tangent at a point we will find the derivative of equation at that point.

a). y = x² - 10x

[tex]\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)[/tex]

y' = 2x - 10

At (x = 2),

y' = 2(2) - 10

y' = 4 - 10

y' = -6

From the given equation,

y = 2² - 10

y = -6

Therefore, y-coordinate of the point is y = -6

Equation of the tangent at (2, -6) having slope = -6

y - 2 = -6(x - 2)  

y - 2 = -6x + 12

y = -6x + 14

b). y = [tex]x^{2}+\frac{2}{x}[/tex]

At x = [tex]\frac{1}{2}[/tex]

y = [tex](\frac{1}{2})^2+\frac{2}{\frac{1}{2}}[/tex]

y = [tex]\frac{1}{4}+4[/tex]

y = [tex]\frac{17}{4}[/tex]

Now we have to find the equation of a tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex]

y' = 2x - [tex]\frac{2}{x^{2} }[/tex]

At x = [tex]\frac{1}{2}[/tex]

y' = [tex]2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}[/tex]

y' = 1 - 8

y' = -7

Therefore, equation of the tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex] will be,

[tex]y-\frac{17}{4}=-7(x-\frac{1}{2})[/tex]

y = -7x + [tex]\frac{7}{2}+\frac{17}{4}[/tex]

y = -7x + [tex]\frac{31}{4}[/tex]

What is the 3rd term of the linear sequence below?7,9,11,13,15,...​

Answers

Answer:

11

Step-by-step explanation:

the volume of a rectangular prism is 504 in cube. If the area of the bask is 56 in cube, find its height.

Answers

Answer: 9

Step-by-step explanation:

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