Question
Download Solution PDFIf f (x) = x + 5 and \(\rm g(x)= \dfrac{1}{2x+5}\), then [(f × g)(5)] =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For two functions f(x) and g(x), the function [(f × g)(x)] is defined as f(x) × g(x).
Calculation:
f(x) = x + 5 ⇒ f(5) = 5 + 5 = 10.
\(\rm g(x)= \dfrac{1}{2x+5} \Rightarrow g(5)= \dfrac{1}{2\times5+5}=\dfrac{1}{15}\).
∴ [(f × g)(5)] = f(5) × g(5) = \(\rm 10\times\dfrac{1}{15}=\dfrac{2}{3}\).
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