Question

F(x)= x-2/4
g(x)= 2x^2 +4

Find FOG and GOF

Answer 1

`f(g(x))=(2x^2+4)-(2)/(4)\\g(f(x))=2(x-(2)/(4))^2+4`

Explanation:

Given:

`f(x)=x-(2)/(4)\\g(x)=(2x^2+4)`

F of G:

`f(g(x)=(g(x))-(2)/(4)\\f(g(x))=(2x^2+4)-(2)/(4)`

G of F:

`g(f(x))=2(f(x))^2+4\\g(f(x))=2(x-(2)/(4))^2+4`