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

Answer and explanation

Correct answer: (4x^2+8x+4)

Step 1: First apply (f(x)=x+1). Step 2: Then (g(f(x))=2(x+1)=2x+2). Step 3: Finally (h(2x+2)=(2x+2)^2=4x^2+8x+4).

Related tags

CompositionThree-FunctionsAlgebraFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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