if possible. Enter DNE if the operation cannot be computed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 71RE
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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)** \( \left( \frac{j}{f} \right)(3) = \frac{9}{7} \) ❌
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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