Question

What is the inverse of the function below? f(x)= x/4 -2

Answer 1

$f(x)=\dfrac{x}{4}-2\to y=\dfrac{x}{4}-2\\\\\text{Interchange the y and the x}\\\\x=\dfrac{y}{4}-2\\\\\text{Solve for y}\\\\\dfrac{y}{4}-2=x\qquad|+2\\\\\dfrac{y}{4}=x+2\qquad|\cdot4\\\\y=4(x+2)$

$Answer:\ C.\ f^{-1}(x)=4(x+2)$