Question

If `f(x)=3x+4` and `g(x)=2(x+1)` then prove that `(fog)(x)=(gof)(x)`.?

Answer 1

See below.

Explanation:

`(f@g)(x)=f(g(x))=3(2(x+1))+4=6x+10`

`(g@f)(x)=g(f(x))=2(3x+4)+2=6x+10`

`(f@g)(x)=(g@f)(x)=6x+10`