Question

which of the following could be a possible decomposition of h(x)?
let h(x)=(gof)(x)=1/(x+5)^3
a) f(x)=x^3 ; g(x)= x+5
b) f(x)= 1/x^3 ; g(x)= 1/x+5
c) f(x)=1/x ; g(x)= x+5
d) f(x)=x+5 ; g(x)= 1/x^3

Answer 1

Hello,

Answer D.

g(f(x))=g(x+5)=1/(x+5)^3

f(x)=x+5
g(x)=1/x^3