Find the inverse of g(n) = - 3 - 1
Og-1 (n) = -(n-3)-1
9
9-1 (n) = In
g-1 (n) = (n + 1)3 + 3
Og-1 (n) = 3+n3

Answers

Answer 1

Answer:

[tex]g'(n) = -\frac{n+1}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(n) = -3n - 1[/tex]

Required

Determine the inverse

[tex]g(n) = -3n - 1[/tex]

Replace g(n) with y

[tex]y = -3n - 1[/tex]

Swap positions of x and y

[tex]n = -3y - 1[/tex]

Make y the subject

[tex]3y = -n - 1[/tex]

[tex]3y = -(n + 1)[/tex]

[tex]y = -\frac{n+1}{3}[/tex]

Replace y with g'(n)

[tex]g'(n) = -\frac{n+1}{3}[/tex]


Related Questions

Item 13
Write an explicit rule for the recursive rule.

$a_1=16,a_n=0.5a_{n-1}$

Answers

Answer:

Step-by-step explanation:

[tex]a_{1}=16[/tex]

[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]

NEED HELP ON THIS ASAP

Answers

Answer:

CosF=A/H

CosF=24/25

CosF=0.96

F=Cos^-1(0.96)

F=16°

A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

Answers

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

plz help will mark as brainliest ​

Answers

Answer:

X = 36 Plz mark brainliest :)

Step-by-step explanation:

This is quite easy actually. If you look on the right you see that the exterior angle next to x is 144 degrees. We know that a straight line is 180 degrees so to find x we can do 180 = x + 144.

Answer:

∠ACB = 36°

∠ABC = 60°

Step-by-step explanation:

∠ACB = 180 - 144 (Linear Pair)

therefore, x = 36°

∠ABC = x + 24°

∠ABC = 36 + 24

∠ABC = 60°

Need help on this question!
Award brainliest!!!
Thanks!

Answers

Answer:

Quintrell's number is 9.

Step-by-step explanation:

Let [tex]x[/tex] be equal to Quintrell's number.

"When 35 is added to my number, the answer is 4 times my original number plus 8."

[tex]35+x=4x+8[/tex]

Subtract both sides by [tex]x[/tex]

[tex]35+x-x=4x+8-x\\35=3x+8[/tex]

Subtract both sides by 8

[tex]35-8=3x+8-8\\27=3x[/tex]

Divide both sides by 3

[tex]\frac{27}{3} =\frac{3x}{3} \\9=x[/tex]

Therefore, Quintrell's number is 9.

I hope this helps!

PLS HELP!!! Angle 3 and Angle 8 are congruent
True or false

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

something congruent is similar in shape

The area of the triangle below is 3/25 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
2/5 ft is the height

Answers

Answer:

b = 0.6 ft

Step-by-step explanation:

area = 3/25

area = 1/2bh

3/25 = 1/2b(2/5)

1/2b = (3/25)/(2/5) = 15/50 = 3/10 or 0.3

b = 2(0.3) = 0.6 ft

The length of the base as a fraction in the simplest form is 3/5 feet.

What is a Triangle?

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its interior angles sum to 180 degrees. This characteristic is known as the triangle's angle sum property. Every triangle has a length, base and height.

As per the given data:

Area of the triangle (A) = (3/25) sq feet

Height of the triangle (h) = (2/5) feet

A = (1/2) × base × height

(3/25) = (1/2) × base × (2/5)

base = (3 × 2 × 5)/(25 × 2)

base = 15/25

base = 3/5 feet

Hence, the length of the base as a fraction in the simplest form is 3/5 feet.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ3

In a​ circle, a 315 sector has area 504piin2. What is the radius of the​ circle?

Answers

Answer:

Step-by-step explanation:

θ = 315°×π/180° = 1.75π radians

area of circle = (area of sector)2π/θ

= (504π)2π/θ

= 576π in²

576π = πr²

r = √576 = 24 in

US
Find the measure of 48.
48
97/83
97
48 = [?]
Enter

Answers

it’s 83°

step by step :

gasoline was $3.759 per gallon 1 week and 3.879 per gallon by next week how much did the price change ​

Answers

Answer:

.12 cent

Step-by-step explanation:

Answer:

0.120

Step-by-step explanation:

3.879-3.759

0.120

True or False: 53 = 15

Answers

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

I need help please!!

Answers

Answer:

Sorry I could only find the answer to the second part.

y=56x

8 1/3 33/4 8.287 8.29 order from least to greatest

Answers

Answer:

33/4 - 8.287 - 8.29 - 8 1/3

----------------------------------------------------------------------------------------------------------------

pls can i get brainliest it took soo long to figure out

1/3 and 2/6 how is each pair equivalent?

Answers

Answer:

By multiple by 2

Step-by-step explanation:

1 multiplied by 2 = 2

3 multiplied by 2 = 6

In that case they equivalent due to the number 2.

The quadrant that contains the point (-7,-16) is quadrant PLSS ANWAR NOW NEED HELP NOW

Answers

Answer:

hi how may i help

Step-by-step explanation:

how can i help u

please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! question “10“ btw

Answers

2560 fluid ounces in pints is 160 which is A.

If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.

Solve the two step equation
5x-11=34
Show your work

Answers

Answer:

x = 9

Step-by-step explanation:

5x-11=34       (Add 11 both sides)

5x = 34 + 11  (Add all to 34)

5x = 45        (Divide by 5 on both sides)

x = 9

Answer:

×=9

Step-by-step explanation:

5x-11=34

5x=34+11

5x=45

x=9



[tex] \frac{2}{6 } + \frac{1}{4} = [/tex]
how do we solve?

Answers

Answer:

7/12

Step-by-step explanation:

We cannot add fractions without the same denominator. 4 does not equal 6

ok

2/6 is the same as 4/12 because we multiply proportionately

we multiply the numerator and denominator by the same factor

2/6 x 2/2 = 4/12

now 1/4 is the same as 3/12 because we multiply by 3x3

(realize something we are not changing the value of the fraction. 2/2 is the same as 1 and 3/3 is also the same as 1)

now they have the same denominator

4/12 + 3/12+ = 7/12

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.

i don't get how to do this one

Answers

Its the second one............

The Shoes cost $42
Each pack of socks costs $1.50
Martha has $53 to buy shoes and socks. If Martha buys one pair of shoes, what is the greatest number of packs of socks she can buy?

Answers

Answer:

Martha can buy 7 packs of socks.

Step-by-step explanation:

Martha has $53

Shoes = $42

Socks = $1.50 each

First subtract 42 from 53 to figure out how much is left:

⇒ $53 - $42 = $11

then divide the answer by how much each pack of socks cost:

⇒ [tex]\frac{11}{1.50}[/tex] = 7.33

next, take the whole number of the answer and multiply that by $1.50 to figure how much 7 pack of socks cost:

⇒ 7 socks x $1.50 = $10.50

subtract the answer from $11 to figure out how much remains:

⇒ $11 - $10.5 = $0.50

Answer:

She can buy 7 packs of socks

Find the
1. range
2. domain
3. intervals where the graph is positive

Answers

Answer:

i need more info on the subject like wahts the angle your putting it at

Step-by-step explanation:

Q. A mechanic has a radiator hose that
measures 32 feet long. It needs to be cut into
pieces equaling 5 feet 3 inches. How many
whole pieces can it be cut into?
A. 4 pieces
B. 6 pieces
C. 7 pieces
D. 8 pieces

Answers

B 6 whole peices

explanation

what is the sum of 6 1/2 + 2 1/3

Answers

Answer:

8 5/6

common denominator

Answer:

8 5/6

Step-by-step explanation:

Write the 0.5% in two other forms (fraction and percent).

Answers

You can use 5/10 and 50% which is the same as 0.5%

Round the number 52.810 to the nearest hundredth.

Answers

Answer:

rounded to the nearest hundredth it would be 52.81

Answer:

52.81

Step-by-step explanation:

Rounded to nearest hundreth

m is a negative number.
Which statement is correct?
Choose only one answer.
A. m + 9 is always positive
B. m + 9 is always negative
C. m + 9 cannot be zero
D.m + 9 could be positive or negative or zero

Answers

Answer:

D

Step-by-step explanation:

Plot the zeros of this function:

f(x) = (x – 1)(x – 7).

Drawing Tools
Click on a tool to begin drawing.

Answers

The zeros are 1 and 7


A line passes through the point (-8, -7) and has a slope of 5/4

Write an equation in slope intercept form for this line


Plzzz help

Answers

Answer:

y = 5/4x + 3

Step-by-step explanation:

4. According to the graph above, which of
the following best represents the number of
calories from protein a person on a 2,200-
calorie diet should consume?
A. 450
B. 550
C. 625
D. 650

Answers

The answer to this is D!!!!

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

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