Question

If $f\left(x\right)=2,g\left(x\right)=x^2,h\left(x\right)=2x,\forall x\in R$ then find $\left(f\right(g\left(h\right(x\left)\right)\left)\right)$

Answer 1

$fogoh\left(x\right)=f\left(g\right(h\left(x\right)\left)\right)$

$h\left(x\right)=2x$

$f\left(g\right(2x\left)\right)$

$g\left(x\right)=x^2$

$f\left(\right(2x{)}^2)$

$f\left(x\right)=2$

$f\left(4x^2\right)=2$