Question

f (x) = 3.0 + 8. Find the inverse of f(x).O A. f-'(x) = ? ?O B. f-'(x) = 3x – 8O c. f-1(x) = 8 – 3xO D. f-'(x) = 178

Answer 1

ANSWER:

$f^{-1}(x)=\frac{x-8}{3}$

STEP-BY-STEP EXPLANATION:

We have the following function:

$f(x)=3x+8$

To calculate the inverse x is f^-1 (x)and f (x) is x, just like that

$\begin{gathered} x=3\cdot f^{-1}(x)+8^{} \\ 3\cdot f^{-1}(x)+8=x \\ 3\cdot f^{-1}(x)=x-8 \\ f^{-1}(x)=\frac{x-8}{3} \end{gathered}$