Question

If g(f) the inverse of

Answer 1

Answer:

$g(x)=\frac{x}{4}-3$

Step-by-step explanation:

we have

$f(x)=4x+12$

Find the inverse

Let

y=f(x)

$y=4x+12$

Exchange the variables (x for y and y for x)

$x=4y+12$

Isolate he variable y

subtract 12 both sides

$4y=x-12$

divide by 4 both sides

$y=\frac{x}{4}-3$

Let

g(x)=y

$g(x)=\frac{x}{4}-3$ ---> inverse of the function f(x)