Question

If f, $g:R\to R$ be defined by f(x) =2x+1 and $g\left(x\right)=x^2-2,\forall x\in R$, respectively. Then, find gof.

Answer 1

Given, that, f(x)=2x+1 and $g\left(x\right)=x^2-2,\forall x\in R$
$\therefore$ gof =g{f(x)}
$=g(2x+1)=(2x+1{)}^2-2$
$=4x^2+4x+1-2=4x^2+4x-1$