Answer to Question #259566 in Algebra for Mae

Question

Find the inverse function of f(x)=4x+12

Answer 1

$F(x)=4x+2$

We Isolate X from the expression

Subtract 2 from both sides

$F(x)-2=4x+2-2\\ F(x)-2=4x$

Divide both sides by 4

$X=\frac{F(X)-2}{4}=X$

Replace X by G(X) and F (X) with x

$G(X)=\frac{X-2}{4}$

The inverse of the function is

$G(X)=\frac{X-2}{4}$