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If f(x)=2x-11 and g(x)=11-2x, what is the value of (f+g)(x)?

Answer and explanation

Correct answer: 0

The sum of two functions is found pointwise: (f+g)(x)=f(x)+g(x)=(2x-11)+(11-2x)=0. The terms 2x and -2x cancel each other, as do -11 and 11. Therefore, option A is correct; option B results from combining the terms with incorrect signs. Exam tip: like terms with opposite signs cancel to zero.

Related tags

AlgebraReal FunctionsFunction AdditionAdditive InverseAlgebra Of Real FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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