Question:
Consider function $f: \mathrm{A} \rightarrow \mathrm{B}$ and
$\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}(\mathrm{A}, \mathrm{B}, \mathrm{C} \subseteq \mathbf{R})$ such that (gof) $^{-1}$ exists, then:
Correct Option: , 3
Solution:
$\therefore$ (gof) $^{-1}$ exist $\Rightarrow$ gof is bijective
$\Rightarrow ' f$ ' must be one-one and ' $g$ ' must be ONTO
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