Question

f(x)=x2,g(x)=3x,n(x)=x-2 prove that (fog)oh=fo(goh)

Answer 1

Step-by-step explanation:

f(x)=x². g(x)=3x. h(x)=x-2

LHS

fog=f{g(x)}

(3x)²=9x²

(fog)oh=9(x-2)²

=9(x²+4-4x)=9x²-36x+36

RHS

goh=g{h(x)}

3(x-2)=3x-6

fo(goh)=(3x-6)²

=9x²-36x+36

LHS=RHS

hence proved