Question

Find the inverse of each function. Is the inverse a function? f(x)=2/3 x-3

Answer 1

The inverse for the function f (x) = 2 / 3 x - 3 will be f ⁻¹ (x) = 3 / 2 x + 9 / 2.

We are given the function:

f (x) = 2 / 3 x - 3

we need to find the inverse of the function.

First we will write the function in the form of x.

y = 2 / 3 x - 3

y + 3 = 2 / 3 x

2 x = 3 y + 9

x = 3 / 2 y + 9 / 2

So, the inverse function will be:

f ⁻¹ (x) = 3 / 2 x + 9 / 2.

Therefore, the inverse for the function f (x) = 2 / 3 x - 3 will be f ⁻¹ (x) = 3 / 2 x + 9 / 2.

Learn more about inverse function here- brainly.com/question/18226349 "

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