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

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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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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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