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Consider the following statements regarding function f and g.

1) if gof is injective, then g is injective but f need not be.

2) if gof is surjective then both f and g are subjective.

A) (1) is true,(2) is false

B) (1) is false,(2) is true

C) Both are true

D) Both are false
asked in Set Theory & Algebra by Boss (41.8k points) | 71 views
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both are false.
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Yes, this is right

can you explain, please?
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if fog is injective than g is injective we cannot say abt function f...
if fog is surjective than f is surjective we cannot say about function g.
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can you provide me any resource  for composite function because I found some of the questions I'm not able to solve it,please
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thanks

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