Question

A function $f\left(x\right)$ is defined as $f\left(x\right)=x^2+3$. Find $f\left(0\right),f\left(1\right),f\left(x^2\right),f(x+1)$ and $f\left(f\right(1\left)\right)$.

Answer 1

$f\left(0\right)=o^2+3=3$
$f\left(1\right)=1^2+3=4;f\left(x^2\right)=(x^2{)}^2+3=x^4+3$
$f(x+1)=(x+1{)}^2+3=x^2+2x+4$
$f\left(f\right(1\left)\right)=f\left(4\right)=4^2+3=19$.