3. Refer to the given functions, fand g. f(x)=- 3 g(x)=2x-8 x-4 a. Evaluate the function for the given value of x. (gof)(6) Consider the Determine whe Express ordered b. Evaluate the function for the given value of x. (fog)(6) the x-intercepts express them to sulsv nevi parabola opens upward or downward. c. Find (fog)(x). ordered pairs. noitanut ross sisuleva.nworz 916 2noitonut dered pair. system. d. Give the domain of (fog)(x) in interval notation. and it onerous sonensilib oris b

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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### Functions and Composition Exercise

Refer to the given functions, \( f \) and \( g \):

\[ f(x) = \frac{3}{x - 4} \]

\[ g(x) = 2x - 8 \]

#### a. Evaluate the function for the given value of \( x \).

Evaluate \( (g \circ f)(6) \).

#### b. Evaluate the function for the given value of \( x \).

Evaluate \( (f \circ g)(6) \).

#### c. Find \( (f \circ g)(x) \).

#### d. Give the domain of \( (f \circ g)(x) \) in interval notation.
Transcribed Image Text:### Functions and Composition Exercise Refer to the given functions, \( f \) and \( g \): \[ f(x) = \frac{3}{x - 4} \] \[ g(x) = 2x - 8 \] #### a. Evaluate the function for the given value of \( x \). Evaluate \( (g \circ f)(6) \). #### b. Evaluate the function for the given value of \( x \). Evaluate \( (f \circ g)(6) \). #### c. Find \( (f \circ g)(x) \). #### d. Give the domain of \( (f \circ g)(x) \) in interval notation.
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