Question

If the function $f, g, h$ are defined from the sets of real numbers $R$ to $R$ such that $f(x)=x^2-1$, $g(x)=\sqrt{x^2+1}, h(x)=\left\{\begin{array}{ll}0, & 	ext { if } x \leq 0 \ x, & 	ext { if } x \geq 0\end{array}ight.$, then the composite function hofog $(x)$ is

Accepted Answer

$\begin{cases}0, & x=0 \ x^2, & x 
eq 0\end{cases}$

Answer

$\left\{\begin{array}{cc}0, & x=0 \ x^2, & x>0 \ -x^2, & x < 0\end{array}ight.$

Answer

$\begin{cases}0, & x \leq 0 \ x^2, & x \geq 0\end{cases}$

Answer

$\begin{cases}x^2, & x \leq 0 \ -x^2, & x>0\end{cases}$

JEE MATHEMATICS MCQ: FUNCTIONS

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