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If \(f(x)=x+6\) and \(g(x)=x+2\), what is the value of \(\left(\frac{f}{g}\right)(0)\)?

Answer and explanation

Correct answer: 3

For quotient functions, \(\left(\frac{f}{g}\right)(0)=\frac{f(0)}{g(0)}\). Here, \(f(0)=6\) and \(g(0)=2\), so \(\frac{6}{2}=3\). Since the denominator is non-zero, the value is defined. Option B gives only \(f(0)\) and ignores the division by \(g(0)\). Exam tip: evaluate both functions first, then divide.

Related tags

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

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