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Class 12MathematicsRelations and FunctionsFunctionsMedium
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If (f:A\to B) and (g:B\to C) are both one-one, what can be said about (g\circ f)?

Answer and explanation

Correct answer: One-one

Step 1: Suppose ((g\circ f)(a_1)=(g\circ f)(a_2)). Step 2: Since (g) is one-one, (f(a_1)=f(a_2)). Step 3: Since (f) is one-one, (a_1=a_2), so the composite is one-one.

Related tags

CompositionOne One FunctionsInjectiveMediumFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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  3. 3In a function (f:A\to B), what is (A) called?
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