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If \(f(x)=x^2+10\) and \(g(x)=x^2+4\), what is the value of \((f-g)(1)\)?

Answer and explanation

Correct answer: 6

First, \(f(1)=1^2+10=11\) and \(g(1)=1^2+4=5\). Hence, \((f-g)(1)=f(1)-g(1)=11-5=6\). Equivalently, \(f(x)-g(x)=(x^2+10)-(x^2+4)=6\), since the \(x^2\) terms cancel. Exam tip: For \((f-g)(a)\), always calculate \(f(a)-g(a)\), not their sum.

Related tags

AlgebraReal FunctionsFunction OperationsSubtraction Of FunctionsAlgebra Of Real FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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