#8 **Precalculus 1.5 HW4**1. **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. \( f(x) = 3x - 6, \quad g(x) = 3 - x \) 2. \( f(x) = \frac{x}{x-2}, \quad g(x) = x^3 + 1 \)2. **Evaluate the indicated function for \( f(x) = x^2 - 2 \) and \( g(x) = x - 1 \) algebraically.** 3. \( (f - g)(2) \) 4. \( \left(\frac{f}{g}\right)(t - 2) \)3. **Find (a) \( (f \circ g)(x) \) and (b) \( (g \circ f)(x) \)** 5. \( f(x) = x^4 - 4, \quad g(x) = \sqrt[4]{x + 4} \) 6. \( f(x) = x^2 + 9, \quad g(x) = \sqrt{x} \)4. **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) \( (g \circ f)(3) \)**Graphs Explanation:**- **Graph of \( f(x) \):** The graph shows a V-shaped plot that opens upwards. The points plotted are at (-1,2), (1,0), (3,0), and (5,2). The graph is symmetric about \( x = 3 \).- **Graph of \( g(x) \):** The graph is a straight line with a negative slope. The points plotted include (0

Name: #8 **Precalculus 1.5 HW4**1. **Find (a) \( (f + g)(x) \), (b) \( (f -
Uploaded: 2024-03-05T11:52:21.000Z
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Description: #8 **Precalculus 1.5 HW4**1. **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. \( f(x) = 3x - 6, \quad g(x) = 3 - x \) 2. \( f(x) = \frac{x}{x-2}