\[f(x)=\left| x-1 \right|,f:{{R}^{+}}\to R\] and \[g(x)={{e}^{x}},\] \[g:[(-1,\infty )\to R].\] If the function fog (x) is defined, then its domain and range respectively are

\[[-1,\infty )and\left[ 1-\frac{1}{e},\infty \right)\]

\[(0,\infty )\,\,and\,\,[0,\infty )\]

\[[-1,\infty )\,\,and\,\,[0,\infty )\]

\[[-1,\infty )and\left[ \frac{1}{e}-1,\infty \right)\]

\[f(x)=\left| x-1 \right|,f:{{R}^{+}}\to R\] and \[g(x)={{e}^{x}},\] \

1.	\[f(x)=\left\| x-1 \right\|,f:{{R}^{+}}\to R\] and \[g(x)={{e}^{x}},\] \[g:[(-1,\infty )\to R].\] If the function fog (x) is defined, then its domain and range respectively are
A.	\[(0,\infty )\,\,and\,\,[0,\infty )\]
B.	\[[-1,\infty )\,\,and\,\,[0,\infty )\]
C.	\[[-1,\infty )and\left[ 1-\frac{1}{e},\infty \right)\]
D.	\[[-1,\infty )and\left[ \frac{1}{e}-1,\infty \right)\]
Answer» C. \[[-1,\infty )and\left[ 1-\frac{1}{e},\infty \right)\]

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\[f(x)=\left| x-1 \right|,f:{{R}^{+}}\to R\] and \[g(x)={{e}^{x}},\] \[g:[(-1,\infty )\to R].\] If the function fog (x) is defined, then its domain and range respectively are

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