Aind (f.a)) when f(x)=x?+8x+15 Land ga=

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find (f•g)(x)
The image contains a problem from a notebook, which reads:

"#1 find \((f \cdot g)(x)\) when \(f(x) = x^2 + 8x + 15\) and \(g(x) = \frac{5}{x^2 - 9}\)"  

The task is to find the product of the functions \(f(x)\) and \(g(x)\), denoted as \((f \cdot g)(x)\).
Transcribed Image Text:The image contains a problem from a notebook, which reads: "#1 find \((f \cdot g)(x)\) when \(f(x) = x^2 + 8x + 15\) and \(g(x) = \frac{5}{x^2 - 9}\)" The task is to find the product of the functions \(f(x)\) and \(g(x)\), denoted as \((f \cdot g)(x)\).
Expert Solution
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.

f\left(x\right)=x^2+8x+15,\:\:\:\:\:\:\:\:g\left(x\right)=\frac{5}{x^2-9}

.

(f\cdot g)(x)=f(x) \cdot g(x)

(f\cdot g)(x)= \left(x^2+8x+15\right)\cdot \frac{5}{x^2-9}

(f\cdot g)(x)= \frac{5\left(x^2+8x+15\right)}{x^2-9}

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