5. find the inverses of the following functions:
a. f(x) = (2 / 3 x) − 10
b. g(x) = 2(x + 4)3
c. h(x) = 1 / x−2 , xx ≠ 2

a)  

Step 1. We’ll first replace f(x) with y

Step 2. Replace all x’s with y and all y’s with x.

Step 3. Solve for y. Then, replace y with f−1(x)

Then,

b)

Step 1.

Step 2.

Step 3.

Then,

c)

Step 1.

Step 2.

Step 3.

with

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step-by-step explanation: