Given functions, f(x), g(x), h(x), and j(x), calculate each operation and simplify, if possible. 1 f(x) g(x) = 4x + 8 h(x) = -a² + 9 j(x) = |æ| 4 Enter DNE if the operation cannot be computed. a. (h + f)(5) = b. (g – j)(6) = c. (fh)(8) = a ()a = d. (3) :

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

Given functions, \( f(x) \), \( g(x) \), \( h(x) \), and \( j(x) \), calculate each operation and simplify, if possible.

- \( f(x) = \frac{1}{x - 4} \)
- \( g(x) = 4x + 8 \)
- \( h(x) = -x^2 + 9 \)
- \( j(x) = |x| \)

**Instructions:**

Enter "DNE" if the operation cannot be computed.

**Questions:**

a. \( (h + f)(5) = \) [Input Box]

b. \( (g - j)(6) = \) [Input Box]

c. \( (fh)(8) = \) [Input Box]

d. \( \left( \frac{j}{g} \right)(3) = \) [Input Box]
Transcribed Image Text:**Problem Statement:** Given functions, \( f(x) \), \( g(x) \), \( h(x) \), and \( j(x) \), calculate each operation and simplify, if possible. - \( f(x) = \frac{1}{x - 4} \) - \( g(x) = 4x + 8 \) - \( h(x) = -x^2 + 9 \) - \( j(x) = |x| \) **Instructions:** Enter "DNE" if the operation cannot be computed. **Questions:** a. \( (h + f)(5) = \) [Input Box] b. \( (g - j)(6) = \) [Input Box] c. \( (fh)(8) = \) [Input Box] d. \( \left( \frac{j}{g} \right)(3) = \) [Input Box]
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