Composite functions gof and fog

Question

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

Comments

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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https://www.geeksforgeeks.org/functions-properties-and-types-injective-surjective-bijective/

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thanks