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01.02.24_(S1)
Question
Let f:R→R and g:R→R be defined as $$ \begin{aligned} &f(x)=\left\{\begin{array}{lll} \log _e x & , & x>0 \\ e^{-x} & , & x \leq 0 \end{array}\right. \text { and }\\ &g(x)=\left\{\begin{array}{cl} x & , x \geq 0 \\ e^x & , x<0 \end{array} \text {. Then, gof: } \mathbf{R} \rightarrow \mathbf{R}\right. \text { is : } \end{aligned} $$
Select the correct option:
A
one-one but not onto
B
neither one-one nor onto
C
onto but not one-one
D
both one-one and onto
✓ Correct! Well done.
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