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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (f(x)=2x+1) and (g(x)=x^2), what is ((g\circ f)(x))?

Answer and explanation

Correct answer: (4x^2+4x+1)

Step 1: ((g\circ f)(x)) means (g(f(x))). Step 2: Put (f(x)=2x+1) into (g), giving (g(2x+1)=(2x+1)^2). Step 3: Expanding gives (4x^2+4x+1).

Related tags

FunctionsCompositionAlgebraExpertRelations And FunctionsMathematicsClass 12 Mcq
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