F(x)= x-2/4 g(x)= 2x^2 +4 Find FOG and GOF

asked Nov 16, 2023 145k views

25 votes

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

Find FOG and GOF

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13 votes

Answer:

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

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:

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

Gui Herzog answered Nov 21, 2023