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If \(f(x)=12x-6\) and \(g(x)=6\), what is the value of \(\left(\frac{f}{g}\right)(x)\)?

Answer and explanation

Correct answer: \(2x-1\)

By the definition of the quotient of two functions, \(\left(\frac{f}{g}\right)(x)=\frac{f(x)}{g(x)}\). Hence, \(\frac{12x-6}{6}=\frac{12x}{6}-\frac{6}{6}=2x-1\). Therefore, option A is correct. Exam tip: When dividing an algebraic expression by a constant, divide every term in the numerator by that constant.

Related tags

AlgebraReal FunctionsQuotient Of FunctionsFunction OperationsAlgebra Of Real FunctionsRelations And FunctionsMathematicsClass 11 Mcq

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