Let $f: \mathrm{A} \rightarrow \mathrm{B}$ and $g: \mathrm{B} \rightarrow \mathrm{C}$ be any two functions…

Let $f: \mathrm{A} \rightarrow \mathrm{B}$ and $g: \mathrm{B} \rightarrow \mathrm{C}$ be any two functions and $g \circ f: \mathrm{A} \rightarrow \mathrm{C}$ is one-one, then
  1. $f$ and $g$ are both one-one
  2. $f$ is one-one and $g$ need not be one-one
  3. $g$ is one-one and $f$ need not be one-one
  4. both $f, g$ need not be one-one

Solution

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Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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