Question

What is the inverse of the function f(x)=1/4x-12?

Answer 1

Answer:

d. h(x) = 4x + 48

Step-by-step explanation:

$f(x) = \frac{1}{4} x - 12$

$y = \frac{1}{4} x - 12$

$x = \frac{1}{4} y - 12$

$\frac{1}{4} y - 12 = x = 4( \frac{1}{4} y - 12) = 4x$

$4 \times \frac{1}{4} y - 4 \times 12 = 4x$

$y - 48 = 4x$

$y = 4x + 48$

$\boxed{\green{= h(x) = 4x + 48}}$