Question #259566

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

1
Expert's answer
2021-11-01T19:51:02-0400

F(x)=4x+2F(x)=4x+2

We Isolate X from the expression

Subtract 2 from both sides

F(x)2=4x+22F(x)2=4xF(x)-2=4x+2-2\\ F(x)-2=4x

Divide both sides by 4

X=F(X)24=XX=\frac{F(X)-2}{4}=X

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

G(X)=X24G(X)=\frac{X-2}{4}

The inverse of the function is

G(X)=X24G(X)=\frac{X-2}{4}


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