Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 71RE
Related questions
Question
![Use the given functions to calculate each operation and simplify, if possible. Enter DNE if the operation cannot be computed.
\[ f(x) = \frac{1}{x + 2} \]
\[ g(x) = 4x - 2 \]
\[ h(x) = -x^2 + 9 \]
\[ j(x) = |x| \]
---
**(a)** \( (g + h)(4) = 7 \) ✔️
**(b)** \( (j - f)(-3) = \frac{4}{3} \) ❌
**(c)** \( (hg)(-8) = 1870 \) ✔️
**(d)** \( \left( \frac{j}{f} \right)(3) = \frac{9}{7} \) ❌](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04d5ed65-3ad4-46a9-9e82-b3fe58bfd913%2Fed54f4f9-2a3d-4cbf-b34d-3005cdb38d07%2Fqfedsq7_processed.png&w=3840&q=75)
Transcribed Image Text:Use the given functions to calculate each operation and simplify, if possible. Enter DNE if the operation cannot be computed.
\[ f(x) = \frac{1}{x + 2} \]
\[ g(x) = 4x - 2 \]
\[ h(x) = -x^2 + 9 \]
\[ j(x) = |x| \]
---
**(a)** \( (g + h)(4) = 7 \) ✔️
**(b)** \( (j - f)(-3) = \frac{4}{3} \) ❌
**(c)** \( (hg)(-8) = 1870 \) ✔️
**(d)** \( \left( \frac{j}{f} \right)(3) = \frac{9}{7} \) ❌
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