Find the inverse, g−1(x), of the following function: g(x) = 4x - 11

Answers

Answer 1

Answer:

[tex]g^{-1}[/tex] (x) = [tex]\frac{x+11}{4}[/tex]

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

[tex]\frac{y+11}{4}[/tex] = x

Change y back into terms of x , with x = [tex]g^{-1}[/tex] (x) , thus

[tex]g^{-1}[/tex](x) = [tex]\frac{x+11}{4}[/tex]


Related Questions

The sum of two numbers is 12 and their difference is 4. What is the product of these two numbers

Answers

Answer:

48

Step-by-step explanation:

because I had times 12 and 4 to get 48

Answer:

the answer is 32

Step-by-step explanation:

12-4=8

add 8 and 4 you'll get 12. Subtract 4 from 8 you'll get 4.

multiply 8 and 4 you'll get 32

5,210/17 pls help me i tried but i forgot what to do

Answers

Answer:

306.47(it's rounded)

Step-by-step explanation:

There are 100 seniors and 80 juniors in the homecoming parade. The students split up into groups of even size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?

Answers

Answer:

20

Step-by-step explanation:

Number of juniors = 80

Number of seniors = 100

To obtain the same and highest number of student on each float ; we find the highest common factor :

____80 ___100

_2__40___50

_2__20___25

_5__ 4____5

The highest common factor = (2 * 2 * 5) = 20

What are the zeros of h (x) = 2x2 – 8x – 10?

Answers

Answer:

x=5, -1

Step-by-step explanation:

set the equation equal to 0: 2x^2-8x-10=0

divide both sides by 2 to get x^2-4x-5=0

next factor your new equation to get (x+1)(x-5)

set those equal to zero

now you have x+1=0 and x-5=0

finally, solve for x by subtracting 1 and adding 5

now you have your answer x= 5 and -1

What is 4(5^2 - 10)

Answers

Answer:

(25-10)*4=

15*4=60

Step-by-step explanation:

Answer:

4(25 - 10)

100 - 40

100 - 40 = 60

Step-by-step explanation:

What is the x-intercept of the line?
А
-2
-3
B
C
6
D
7

Answers

Answer:

-3

Step-by-step explanation:

The x intercept is where the graph crosses over the x coordinatnes, and that point on the graph is -3 :)

Please someone help with this​

Answers

Answer:  4.5pi

This is the same as 9pi/2 or (9/2)pi

===================================================

Explanation:

A full circle has area

A = pi*r^2

Since the radius is r = 3, we know that

A = pi*r^2

A = pi*3^2

A = pi*9

A = 9pi

is the area of the full circle with radius 3.

But we have a semicircle here, so we need to cut this area in half

9pi/2 = (9/2)pi = 4.5pi

Answer:

9pi

Step-by-step explanation:

A=pi r ^2 / 2

A boy weighs 31.5 kilograms. How much does he weigh in pounds?use the following conversion:1 kilogram is 2.2 pounds.

Answers

Answer:

69.4 pounds

Step-by-step explanation:

PLZ HELP!! Can perpendicular lines have the same y - intercept? Yes or No?

Answers

Answer:

No, they cannot have the same y intercept

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Algebra i P.1 Identify arithmetic and geometric sequences X76 You have prizes to re Farmer Hanson has a plot of tomato plants. There are 2 tomato plants in the first row, 8 tomato plants in the second row, 32 tomato plants in the third row, and 128 tomato plants in the fourth row. What kind of sequence is this? arithmetic geometric both neither Submit ​

Answers

Answer:  Geometric

===============================================

Explanation:

The sequence 2,8,32,128,... is geometric

To get a new term, we multiply by the common ratio 4.

2*4 = 8

8*4 = 32

32*4 = 128

To find the common ratio, you pick any term you want, and divide by its previous term

r = (term2)/(term1) = 8/2 = 4

r = (term3)/(term2) = 32/8 = 4

r = (term4)/(term3) = 128/32 = 4

The starting term is a = 2, so the nth term is

a(n) = a*(r)^(n-1)

a(n) = 2*(4)^(n-1)

Kim is playing an online trivia game. She has 25 points and earns 1 each correct answer. She will advance to the next round if her score is over 34 points. A. 25x+>34 B. 1x+34 34 C.1x+25 34

Answers

25x+>34 is the correct answer.

The correct answer is option A.

What is an example of an equation?

An equation is a mathematical declaration this is made up of two expressions linked through the same sign. As an example, 3x – five = 16 is an equation. solving this equation, we get the cost of the variable x as x = 7.

What is a word problem in maths?

A word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a 'real-life' scenario.

Learn more about word problems here: https://brainly.com/question/13818690

#SPJ2

Answer: is 3x + 16 > 34

The Central Middle School basketball team won 20 games and lost 5. What was the percentage of games lost by the basketball team?

Answers

Answer:

The percentage of games lost and total games is 8%

Step-by-step explanation:

Answer: 20%

First, find the number of games played (25)

Second, take the number of losses and put it over the number of games played (5/25)

Third, convert the fraction to a percent (x/100 -- x = 20)

Ans = 20%

What is the discrimination of the quadratic equation 8x^2-2x-1=0

Answers

[tex]D=b^2-4ac\\D=(-2)^2-4(8)(-1)\\D=4+32\\D=36[/tex]

For another information, when D > 0, there are 2 real roots.

When D = 0, there is only one real root.

And when D < 0, there are no real roots (also known as imaginary.)

graph the function y= (-√x-1)-2

Answers

Answer:

this is what i got when i graphed it.

Step-by-step explanation:

Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.

Answers

Answer:

It takes 9 or more months for the Apartment B to pay less than Apartment A.

Step-by-step explanation:

Apartment B:

8 x 350 = $2800

$2800 + $500 = $3300

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

9 x 350 = $3150

$3150 + $500 = $3650

Apartment A:

$400 x 8 = $3200

$3200 + $100 = $3300

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

9 x 400 = 3600

3600 + 100 = 3700

A fast food restaurant sold 35 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 7 : 3, how many burgers did they sell total?

Answers

Answer:

56

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Cause 7 times 5 is 35 so if you multiply 3 and 5 you get 15 so 15 35 is 50. I hope I helped :)

what is a corresponding angle?

Answers

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

Step-by-step explanation:

Just do what i put up there

Solve for b. Show your work (ALL steps must be shown): 4b-3b+7=10 *

Answers

Answer:

the answer should be 3 100% sure

Step-by-step explanation:

Simplify  4b-3b+74b−3b+7  to  b+7b+7.

b+7=10b+7=10

2 Subtract 77 from both sides.

b=10-7b=10−7

3 Simplify  10-710−7  to  33.

b=3b=3

Solve for x: 3x − 5 = 2x + 6. need answer plz :(

Answers

Answer:

x = 11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

3x -5 = 2x +6

add 5

3x -5 +5 = 2x +6 +5 =

3x = 2x +11

subtract 2x

3x - 2x = 2x - 2x +11 =

1x = 11

divide by 1

1x/1 = 11/1 =

x = 11

The ratio of the bake time for a pepperoni pizza (P) and a cheese pizza (C) is modeled by the equation: P = 3C - 2. A.) If a small cheese pizza should bake for 12 minutes, how long should you bake a small pepperoni pizza? B.)If a small cheese pizza should bake for 12 minutes, how long should you bake a small pepperoni pizza?

Answers

Answer:

34 minutes

Step-by-step explanation:

Given:

Ratio of time for which Pepperoni pizza and cheese pizza should be baked is given as:

[tex]P = 3C - 2[/tex]

Where [tex]P[/tex] is the time for which pepperoni pizza should be baked and

[tex]C[/tex] is the time for which Cheese pizza should be baked.

Also, it is given that a small Cheese pizza should be baked for 12 minutes.

In other words, we are given that: [tex]C=12\ min[/tex]

To find:

For how long small pepperoni pizza should be baked ?

In other words,

[tex]P=?[/tex]

Solution:

Let us put the value of [tex]C[/tex] in the equation of the model.

[tex]P = 3C - 2[/tex]

[tex]\Rightarrow P = 3\times 12 - 2\\\Rightarrow P = 36 - 2\\\Rightarrow P = \bold{34\ min}[/tex]

Therefore, a small pepperoni pizza should be baked for 34 minutes.

Simplify the expression
-2(n - 6)

Answers

Answer:-2n+12

Step-by-step explanation: Distribute -2

Answer:

-2n=12 or -2n-(-12)

Step-by-step explanation:

Plz help!


A recent study estimated that the wild tiger population in India decreased by 2,200 tigers in 5 years. What is the average amount this tiger population changed each year?

Answers

Answer:

440 tigers per year

Step-by-step explanation:

It says that over 5 years the population decreased by 2200, so 2200 divided by 5 would be 440.

Answer:

2200/5 = 440 per year

How many 1 2/5 foot pieces of ribbon can be cut from a piece of ribbon that is 35 feet long?

Answers

It should be 49 feet long I’m not sure!

help its mathhhhhhh ASAP

Answers

18x= 5,137 answer: 285.38

Alana spent $18.24 on 4.8 pounds of plant food.
Which expression shows a good estimation for finding the cost of each pound of
plant food?

$
How much did each pound of plant food cost?

$

Answers

Answer:

Alana spent $18.24 on 4.8 pounds of plant food.

Which expression shows a good estimation for finding the cost of each pound of

plant food?

$

✔ 20 ÷ 5

How much did each pound of plant food cost?

$

✔ 3.80

state the slope of a line parallel to the given line y-5 = 4 ( x+3)

Answers

Answer:

slope = 4

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 5 = 4(x + 3) ← is in point- slope form

with slope m = 4

A parallel line has a slope of 4

what is the tens place and the hudreds digit and the thousands digit then on the other half it what the tents digit hundredths digit and thousandths digits​

Answers

Answer: 8. Tens:4 Hundreds:5 Thousands:7

9. Tens:9 Hundreds:9 Thousands:9

10.Tenths:6 Hundredths:2 Thousandths:4

11. Tenths:7 Hundredths:3 Thousandths:6

Step-by-step explanation:

f(x) = -2x² + 2x + 4
Find f(1)

Answers

The answer is 4. Because 1 is going to be substituted into all the x’s in the equation making it -2(1)^2 +2(1) +4. This equals four all together.

Answer:

4

Step-by-step explanation:

first substitute 1 on the x on the function

which is -2(1)²+ 2(1) + 4

then next simplify to -2 + 2 + 4

when you add the answer is 4

given m ll n find the value of x.

Answers

Answer:

x = 30

Step-by-step explanation:

x and 30° are alternate angles and congruent, thus

x = 30

Answer:

30 degrees

Step-by-step explanation:

according to the angle addition postulate you know that angle 30 plus angle that is 150 so you know that angle x is also equal to 30.

The sum of W and fourteen is five

Answers

Answer:

It depends on what you're looking for, but-

Writing an equation from words: w+14=5

Solving for w: w=-9

Step-by-step explanation:

Writing an equation from words:

"Sum" means the answer to an addition problem, for example,

1+1=2.

2 would be the sum.

Anyways, the word problem says the sum is 5. So this is what our equation looks like: ?=5

The two numbers being added together are "w" and "14," which leads us to our answer: w+14=5

Solving for w:

w+14=5

Subtract 14 from both sides to get your answer:

w= -9

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