Question
If $f:A \to B$ and $g:B \to C$ be the bijective functions, then ${(gof)^{ - 1}}$ is
- (a) ${f^{ - 1}}o{g^{ - 1}}$ ✓ Correct
- (b) $fog$
- (c) ${g^{ - 1}}o{f^{ - 1}}$
- (d) $\;gof$
Relations and Functions — Class 12 Maths Solution
Step-by-step Solution
It is given that,, $f:A \to B$ and $g:B \to C$ be the bijective functions.
${(gof)^{ - 1}} = {f^{ - 1}}o{g^{ - 1}}$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.