91Ó°ÊÓ

Find \((f+g)(x)\) and \((f+g)\) Let \(f(x)=5 x\) and \(g(x)=-2 x-3 .\) Find \((f+g)(x)\) \((f-g)(x), \quad(f g)(x), \quad\) and \(\quad\left(\frac{f}{g}\right)(x)\)

Find \(f(g(x))\) and \(g(f(x))\) and determine whether each pair of functions \(f\) and \(g\) are inverses of each other. $$f(x)=4 x+9 \quad \text { and } \quad g(x)=\frac{x-9}{4}$$

Find the indicated function values. \(f(x)=(-x)^{3}-x^{2}-x+10\) a. \(f(0)\) b. \(f(2)\) c. \(f(-2)\) d. \(f(1)+f(-1)\)

Find \((f+g)(x)\) and \((f+g)\) Let \(f(x)=-4 x\) and \(g(x)=-3 x+5 .\) Find \((f+g)(x)\) \((f-g)(x), \quad(f g)(x), \quad\) and \(\quad\left(\frac{f}{g}\right)(x)\)

For each pair of functions, \(f\) and \(g\) determine the domain of \(f+g\) $$f(x)=3 x+7, g(x)=9 x+10$$

Find \(f(g(x))\) and \(g(f(x))\) and determine whether each pair of functions \(f\) and \(g\) are inverses of each other. $$f(x)=5 x-9 \quad \text { and } \quad g(x)=\frac{x+5}{9}$$

Find the indicated function values. \(f(x)=\frac{2 x-3}{x-4}\) a. \(f(0)\) b. \(f(3)\) c. \(f(-4)\) d. \(f(-5)\) e. \(f(a+h)\) f. Why must 4 be excluded from the domain of \(f ?\)

For each pair of functions, \(f\) and \(g\) determine the domain of \(f+g\) $$f(x)=7 x+4, g(x)=5 x-2$$

Find the indicated function values. \(f(x)=\frac{3 x-1}{x-5}\) a. \(f(0)\) b. \(f(3)\) c. \(f(-3)\) d. \(f(10)\) e. \(f(a+h)\) f. Why must 5 be excluded from the domain of \(f ?\)

Find \(f(g(x))\) and \(g(f(x))\) and determine whether each pair of functions \(f\) and \(g\) are inverses of each other. $$f(x)=3 x-7 \text { and } g(x)=\frac{x+3}{7}$$