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3 years ago

If f(x) = 2/3x + 9, find f^-1(x)

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

If $f^{-1}(x)$ is the inverse of

$f(x) = \dfrac23x+9$

then

$f\left(f^{-1}(x)\right) = \dfrac23f^{-1}(x) + 9 = x$

Solve for $f^{-1}(x)$ :

$\dfrac23f^{-1}(x)+9 = x \\\\ \dfrac23f^{-1}(x) = x-9 \\\\ f^{-1}(x) = \dfrac32(x-9) = \dfrac32x-\dfrac{27}2$

which makes D the correct answer.

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Pie

Answer:

18.46

Step-by-step explanation:

find the area using SSS, then solve for height

3 0

2 years ago

Do the math please. i need it nowwwwww

denis-greek [22]

Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4

<h3>What is an Algebraic Equation?</h3>

An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.

Algebraic expression for Mat A is: 4x + 3

Algebraic expression for Mat B is: 2x + 11

We would have the following algebraic equation:

4x + 3 = 2x = 11

Solve for the value of x

4x - 2x = 11 - 3

2x = 8

x = 8/2

x = 4

Learn more about algebraic equations on:

brainly.com/question/2164351

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6 0

2 years ago

What's the domaing and range of this <br><br> (sorry for the quality, its the best I could get)

Schach [20]

Answer:

domain: [-3,2]

range: [-3,2]

Step-by-step explanation:

domain: all possible x values *maximum values of x

range: all possible y values *maximum values of x

brackets means the max while parenthesis mean infinite

8 0

3 years ago

Canada has a population of 1/10 as large as the United States and Canada population is about 32 million about how many people li

Jlenok [28]

Answer:

Step-by-step explanation: If Canada(C) is 32,000,000 and America is A and C x 10 = A then 32,000,000 x 10 = A

And to multiply any whole number by 10 you just add a zero to the end so

320,000,000 is the answer which is pronounced "Three hundred twenty million" And there is 7 zeros in the answer

hope this helps mark me brainliest

6 0

3 years ago

You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year p

erma4kov [3.2K]

The amount of interest you would be paying in Year 2 is: $2,492.62.

<h3>Interest</h3>

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance = Beginning balance + Interest - EMI Payment

Year 1 Closing balance= $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance= $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance = $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

Learn more about interest here:brainly.com/question/15259578

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8 0

2 years ago