Question

Find a formula for f o g given the functions

f(x)=13x^-13
g(x)=3x^2

Answer 1

I assume f(x) = 12x^2 - 13
fog = 13 [ ( 3x2)^2 - 1 ]
= 13 [ 9x^4 - 1] = 117x^4 - 13

Answer 2

\[f(x)=13x ^{-13}\]
\[g(x)=3x ^{2}\]
\[fog(x)=f(g(x))=f(3x ^{2})=13(3x ^{2})^{-13}\]
\[39x ^{-26}\]