91Ó°ÊÓ

Explain the difference between fg \((x)\) and \(f(g(x))\)

In \(3-10,\) find each of the function values when \(\mathrm{f}(x)=4 x\) $$ \mathrm{I}(3) $$

In \(3-5 :\) a. Explain why each set of ordered pairs is or is not a function. b. List the elements of the domain. c. List the clements of the range. $$ \\{(1,-1),(0,0),(1,1)\\} $$

In \(7-10,\) the domain of each function is the set of real numbers. a. Sketch the graph of each function. b. What is the range of each function? $$ \mathrm{f}(x)=|4 x|+1 $$

In \(11-18 :\) a. Find \(h(x)\) when \(h(x)=g(f(x)) .\) b. What is the domain of \(h(x) ?\) c. What is the range of \(\mathrm{h}(x) ?\) d. Graph \(\mathrm{h}(x)\) $$ f(x)=3 x, g(x)=x-1 $$

In \(11-18 :\) a. Find \(h(x)\) when \(h(x)=g(f(x)) .\) b. What is the domain of \(h(x) ?\) c. What is the range of \(\mathrm{h}(x) ?\) d. Graph \(\mathrm{h}(x)\) $$ \mathrm{f}(x)=x^{2}, \mathrm{g}(x)=4+x $$

In \(12-17,\) use a graph to find the solution set of each inequality. $$ -x^{2}+6 x-5 < 0 $$

In \(11-18 :\) a. Find \(h(x)\) when \(h(x)=g(f(x)) .\) b. What is the domain of \(h(x) ?\) c. What is the range of \(\mathrm{h}(x) ?\) d. Graph \(\mathrm{h}(x)\) $$ \mathrm{f}(x)=5-x, \mathrm{g}(x)=|x| $$

a. Draw the graphs of \(y=|x+3|\) and \(y=5\) b. From the graph drawn in a, determine the solution set of \(|x+3|=5 .\) C. From the graph drawn in a, determine the solution set of \(|x+3| > 5\) d. From the graph drawn in a, determine the solution set of \(|x+3| < 5\)

In \(20-27\) : a. Write each equation in center-radius form. b. Find the coordinates of the center. . Find the radius of the circle. $$ x^{2}+y^{2}-6 x+2 y-6=0 $$