Let f:R→R and g:R→R be defined as f(x)={\begin{matrix}{\mathrm{log}}_{e}x, & x>0 \\ {e}^{-x}, & x\leq 0\end{matrix} and g(x)={\begin{matrix}x, & x\geq 0 \\ {e}^{x}, & x<0\end{matrix}. Then, gof:R→R is:
Held on 1 Feb 2024 · Verified 6 Jul 2026.
one-one but not onto
neither one-one nor onto
onto but not one-one
both one-one and onto
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