A) (gof)(x) & (fog)(x) are both cont. for all \[x\in R\]
B) (gof)(x) & (fog)(x) are unequal functions
C) (got) is non-differentiable at \[x=0\]
D) (fog)(x) is not differentiable at \[x=0.\]
Correct Answer: A
Solution :
\[g\,[f\,(x)]=f\,[g\,(x)]=\left[ \begin{matrix} {{x}^{2}} & \text{if} & x\ge 0 \\ 0 & \text{if} & x<0 \\ \end{matrix} \right.\]You need to login to perform this action.
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