#7 **Precalculus 1.5****HW4****Instructions:**Find the following:(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) \((f \circ g)(4)\)8) (a) \((f \circ g)(1)\) (b) \((g \circ f)(3)\)**Graphs Description:**- **Graph of \(f(x)\):** - The graph shows a V-shaped curve resembling an absolute value function. - It consists of points \((1, 2)\), \((2, 0)\), \((3, 2)\), and \((4, 3)\).- **Graph of \(g(x)\):** - The graph illustrates a downward-sloping linear function. - It includes points \((1, 3)\), \((2, 2)\), \((3, 1)\), and \((4, 0)\).Both graphs use a standard

Name: #7 **Precalculus 1.5****HW4****Instructions:**Find the following:(a) \
Uploaded: 2024-03-05T11:52:21.000Z
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Description: #7 **Precalculus 1.5****HW4****Instructions:**Find the following:(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}