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Let f: A -> B and g : B -> C be two fun...

Let `f: A -> B and g : B -> C` be two functions and `gof: A -> C` is define statement(s) is true?
a. If gof is one-one, then f anf g both are one-one
b. if gof is one-one, then f is one-one
c. If gof is a bijection, then f is one-one and g is onto
d. If f and g are both one-one, then gof is one-one.

A

If gof is one-one, then f anf g both are one-one

B

if gof is one-one, then f is one-one

C

If gof is a bijection, then f is one-one and g is onto

D

If f and g are both one-one, then gof is one-one.

Text Solution

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The correct Answer is:
B, C, D
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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