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

Answer and explanation

Correct answer: (-4)

Step 1: (f(g(x))=f(3x-1)=3x+1). Step 2: (g(f(x))=g(x+2)=3x+5). Step 3: The difference is (3x+1-(3x+5)=-4), so order matters in composition.

Related tags

FunctionsCompositionLinear FunctionsExamRelations And FunctionsMathematicsClass 12 Mcq
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