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If f(x)=2x+3 and g(x)=x^2−1, what is (f+g)(x)?

Answer and explanation

Correct answer: x^2+2x+2

The sum of two functions is defined by (f+g)(x)=f(x)+g(x). Therefore, (2x+3)+(x^2−1)=x^2+2x+2. Option B results from adding the constant terms incorrectly. In an exam, combine like terms only after writing the two functions together.

Related tags

Relations-FunctionsAlgebra-Real-FunctionsFunction-AdditionAlgebra Of Real FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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