A) \[x\]
B) \[{{x}^{2}}\]
C) \[0\]
D) None of these
Correct Answer: B
Solution :
Given that,\[f(x)={{x}^{2}}-1,\,\,g(x)=\sqrt{({{x}^{2}}+1)}\] and \[h(x)=\left\{ \begin{matrix} 0,if & x<0 \\ x,if & x\ge 0 \\ \end{matrix} \right.\] \[\therefore \] \[ho(fog)(x)=hof\{g(x)\}\] \[=hof\{\sqrt{({{x}^{2}}+1)}\}\] \[=h\{{{(\sqrt{{{x}^{2}}+1})}^{2}}-1\}\] \[=h\{{{x}^{2}}+1-1\}\] \[=h\{{{x}^{2}}\}\] \[={{x}^{2}}\]You need to login to perform this action.
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