#5 **Precalculus 1.5 — HW4****Find (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f \cdot g)(x) \), (d) \( \left( \frac{f}{g}\right)(x) \). What is the domain of (d)?**1) \( f(x) = 3x - 6, \, g(x) = 3 - x \)2) \( f(x) = \frac{x}{x-2}, \, g(x) = x^3 + 1 \)**Evaluate the indicated function for \( f(x) = x^2 - 2 \) and \( g(x) = x - 1 \) algebraically.**3) \( (f - g)(2) \)4) \( \left(\frac{f}{g}\right)(t - 2) \)**Find (a) \( (f \circ g)(x) \) and (b) \( (g \circ f)(x) \)**5) \( f(x) = x^4 - 4, \, g(x) = \sqrt[4]{x + 4} \)6) \( f(x) = x^2 + 9, \, g(x) = \sqrt{x} \)**Use the graphs of \( f \) and \( g \) to evaluate the functions:**7) (a) \( (f \circ g)(1) \) (b) \( (f \cdot g)(4) \)8) (a) \( (f \circ g)(1) \) (b) \( (g \circ f)(3) \)**Graph Descriptions:**- **Graph of \( f(x) \)**: A 'V'-shaped plot on the coordinate plane extending from \( x = 0 \) to \( x = 4 \) with points at (1, 3), (2, 1), and (3, 3). The graph suggests an absolute value or piecewise function.- **Graph of \( g(x) \)**: A linear plot descending diagonally from \( (0, 4) \) to \( (4, 0) \). Points appear

Name: #5 **Precalculus 1.5 — HW4****Find (a) \( (f + g)(x) \), (b) \( (f - g
Uploaded: 2024-03-05T11:52:21.000Z
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Description: #5 **Precalculus 1.5 — HW4****Find (a) \( (f + g)(x) \), (b) \( (f - g)(x) \), (c) \( (f \cdot g)(x) \), (d) \( \left( \frac{f}{g}\right)(x) \). What is the domain of (d)?**1) \( f(x) = 3x - 6, \, g(x) = 3 - x \)2) \( f(x) = \frac{x}{x-2}, \, g(x) =