#1 # Precalculus 1.5 - Homework 4### InstructionsFind the following for the given functions \( f \) and \( g \): (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f \cdot g)(x) \), (d) \( \left(\frac{f}{g}\right)(x) \). Determine the domain of (d).#### Questions1) Given: - \( f(x) = 3x - 6 \) - \( g(x) = 3 - x \)2) Given: - \( f(x) = \frac{x}{x - 2} \) - \( g(x) = x^3 + 1 \)Evaluate the indicated function for \( f(x) = x^2 - 2 \) and \( g(x) = x - 1 \) algebraically.3) Find \( (f - g)(2) \).4) Evaluate \( \left(\frac{f}{g}\right)(t - 2) \).Find (a) \( (f \circ g)(x) \) and (b) \( (g \circ f)(x) \) for the given functions.5) Given: - \( f(x) = x^4 - 4 \) - \( g(x) = \sqrt[4]{x + 4} \)6) Given: - \( f(x) = x^2 + 9 \) - \( g(x) = \sqrt{x} \)Use the graphs of \( f \) and \( g \) to evaluate the functions:7) (a) \( (f \circ g)(1) \) (b) \( (f \circ g)(4) \)8) (a) \( (f \circ g)(1) \) (b) \( (g \circ f)(3) \)### Graph Descriptions- **Graph of \( f(x) \):** - A V-shaped graph starting from point (-1, 4) and reaching the lowest point at (3, 0). It continues upward from there. It includes key points at (1, 1), (2, 2), and (3, 0), then (4

Name: #1 # Precalculus 1.5 - Homework 4### InstructionsFind the following fo
Uploaded: 2024-03-20T07:07:50.000Z
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Description: #1 # Precalculus 1.5 - Homework 4### InstructionsFind the following for the given functions \( f \) and \( g \): (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f \cdot g)(x) \), (d) \( \left(\frac{f}{g}\right)(x) \). Determine the domain of (d).