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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (f(x)=2x-3) and (g(x)=x^2+1), what is ((g\circ f)(x))?

Answer and explanation

Correct answer: (4x^2-12x+10)

Step 1: ((g\circ f)(x)) means (g(f(x))). Step 2: (g(2x-3)=(2x-3)^2+1=4x^2-12x+10). Step 3: Do not reverse the order in composition because (g\circ f) and (f\circ g) are usually different.

Related tags

FunctionsCompositionAlgebraRelations And FunctionsMathematicsClass 12 Mcq
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