The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)​

Answers

Answer 1

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2


Related Questions

a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line ​

Answers

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Y= 13 I think the answer .

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?

Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000


$200.00
$260.00
$2,000.00
$2,600.00

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

What is the formula of area of a quadrant?​

Answers

Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey's error when simplifying? Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared + 2 x + 3 x squared minus 6 x minus 6 Mickey should have added –4 and 2 when combining the coefficients of the x terms. Mickey should have added 2 and 1 when combining the x squared terms. Mickey should have added 9 and 3 when combining the constant terms. Mickey should have added –4 and –1 when combining the x terms. Mark this and return

Answers

Full question attached:

Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?

Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3

Simplified expression: x^2 - 6x - 6

ANSWER CHOICES:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Mickey should have added 2 and 1 when combining the x^2 terms.

Mickey should have added 9 and 3 when combining the constant terms.

Mickey should have added –4 and –1 when combining the x terms.

Answer

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Explanation:

To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved

Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Answer:

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Step-by-step explanation:

which series has a sum of 20?​

Answers

Answer:

the first option has a sum of 20

Step-by-step explanation:

Answer:

the first one has a sum of 20

Step-by-step explanation:

please help. i would rly appreciate it. :/

Answers

No, they’re not parallel they’re perpendicular if you were to graph them this is what you’d get

which number in scientific notation represents 9,832,000?

Answers

9.832*10^6 is the scientific notation

Which equation can you use to solve the following problem?
A group of 168 students is on a field trip. They are doing a ropes course at a local camp.
If 8 students can start the ropes course together at one time, how many groups will the students form to go through the course?

Answers

Answer is 21. 168/8, 168 students divided by 8 groups would be 21.

Answer:

21

Step-by-step explanation:

168 divided by 8

Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)

Answers

The answer is c I believe

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answers

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

8. Find the quotient: 575 ÷ 2.5=________.

9. What is 319 divided by 14.5?________

10. What is the quotient when you divide 641.97 by 21?_________​

Answers

Answer:

8. 230

9. 22

10. 30.57

8. 230

9. 22

10. 30.57

Hope this helps!

What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are congruent?


really not sure what the answer is

Answers

Answer:

3

Step-by-step explanation:

The answer should be 3? Geometry.

Help me please
Make x the subject of the formula
X – 7r = bc

Answers

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Add 7r to both sides:                    x = bc + 7r

Q is equidistant from the sides of ZTSR. Find mZRST. The
diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:

  3x +2 = 4x -4

  6 = x

Then the total angle measure of angle RST is ...

  (3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees

m∠RST = 40°

brain liest for who ever does all (NOTE: this is not a test!! ) thanks :D

Answers

I can't see what you posted it's blocked off but I could probably answer it if I knew what the questions were

A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?

Answers

Answer:

1.8

Step-by-step explanation:

Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?

Answers

Answer:

6

Step-by-step explanation:

we start with:

n(n + 1) + 3 = 45

n² + 1n = 42

n² + 1n - 42 = 0

n can be either 6 or -7

(n - 6)(n + 7)

since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:

n = 7 ⇒ n(n + 1) + 3 = 45

7(7 + 1) + 3 = 59 WRONG

n = 6 ⇒ n(n + 1) + 3 = 45

6(6 + 1) + 3 = 45 ✓ CORRECT

Answer:

6

Step-by-step explanation:

is this correct? ILL MARK YOU BRAINIEST

Answers

Answer:

yes

Step-by-step explanation:

This is correct.

Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.

[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]

[tex]3.0*10^{-5}[/tex]

So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7

Answers

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

Find one root of the following equation x2 + 8x - 9 = 0​

Answers

Answer: was just for a challenge

Step-by-step explanation:

no

Step-by-step explanation:

[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]

Will give brainliest if correct.

Answers

The sencond one is D.

The first one is probable A hope i'm right on this on.

Given that a=10, b=40, and A=30 degrees, how many triangles can possibly be formed?

Answers

Answer:

None

Step-by-step explanation:

The minimum requirement is 180.

Consider the line segment below.

А

M

B

(7x + 8) cm

(9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of a?

Part B - What is the length of AM?

AM

cm.

Part C - What is the length of BM?

BM

cm.

Part D - Is point M the midpoint of AB? Justify your answer.

Answers

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM

Hey I need help in math (I’m not good at it lol)

Answers

Answer: It's B.

Step-by-step explanation:

Hope it Helps let me know if u want me to explain how i got the answer.

The diagram shows a triangle.
4s+9°
3s+1°
6s+1°
What is the value of s?
the number that s is has to equal to 180 once worked out

Answers

Answer:

s=13

Step-by-step explanation:

[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]

Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63​

Answers

Answer:

Espero y esto te ayude :) si me falto algo lo siento.

Step-by-step explanation:

Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:

100% 90%

-------------------- → ---------------------------

Precio Original Precio con Descuento?

SARAPES

- Ana: descuento (14), precio rebajado 126

Precio rebajado = 140.90 / 100 = 126

Descuento: 140 - 126 = 14

- Javier: descuento (8), precio rebajado 72

Precio rebajado = 80.90 / 100 = 72

Descuento: 80 - 72 = 8

ARETES

- Luis: descuento (5), precio rebajado 72

Precio rebajado = 50.90 / 100 = 45

Descuento: 50 - 45 = 5

- Ana: Precio original (60) , descuento (6), precio rebajado 54

Precio original: X.0,10 = 6

X = 60

Precio rebajado: 60 - 6 = 54

- Javier: Precio original (40) , descuento (4), precio rebajado 36

Precio original: X.0,10 = 4

X = 40

Precio rebajado: 40 - 4 = 36

Constant of proportionality characteristics what are some?

Answers

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

7x + 14.7x^2 + 22
Standard form

Answers

Answer:

$7x+14.7x^2+22$

Step-by-step explanation:

Steps

$7x+14.7x^2+22$

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