91Ó°ÊÓ

Find a. \((f \circ g)(x)\) b. \((g \circ f)(x)\) c. \((f \circ g)(2)\) d. \((g \circ f)(2)\) $$f(x)=\frac{1}{x}, g(x)=\frac{1}{x}$$

In Exercises \(59-70,\) the domain of each piecewise function is \((-\infty, \infty)\) a. Graph each function. b. Use your graph to determine the function's range. $$ f(x)=\left\\{\begin{array}{rll} {3} & {\text { if }} & {x \leq-1} \\ {-3} & {\text { if }} & {x>-1} \end{array}\right. $$

a. Rewrite the given equation in slope-intercept form. b. Give the slope and \(y\) -intercept. c. Use the slope and \(y\) -intercept to graph the linear function. $$ 4 y+28=0 $$

Find a. \((f \circ g)(x)\) b. \((g \circ f)(x)\) c. \((f \circ g)(2)\) d. \((g \circ f)(2)\) $$f(x)=\frac{2}{x}, g(x)=\frac{2}{x}$$

Begin by graphing the standard quadratic function, \(f(x)=x^{2}.\) Then use transformations of this graph to graph the given function. $$h(x)=-2(x+2)^{2}+1$$

In Exercises \(59-70,\) the domain of each piecewise function is \((-\infty, \infty)\) a. Graph each function. b. Use your graph to determine the function's range.$$ f(x)=\left\\{\begin{array}{rll} {4} & {\text { if }} & {x \leq-1} \\ {-4} & {\text { if }} & {x>-1} \end{array}\right. $$

Find a. \((f \circ g)(x)\) b. the domain of \(f \circ g\) $$f(x)=\frac{2}{x+3}, g(x)=\frac{1}{x}$$

In Exercises \(59-70,\) the domain of each piecewise function is \((-\infty, \infty)\) a. Graph each function. b. Use your graph to determine the function's range. $$ f(x)=\left\\{\begin{array}{ccc} {\frac{1}{2} x^{2}} & {\text { if }} & {x<1} \\ {2 x-1} & {\text { if }} & {x \geq 1} \end{array}\right. $$

Use intercepts to graph each equation. $$ 6 x-2 y-12=0 $$

Begin by graphing the square root function, \(f(x)=\sqrt{x}.\) Then use transformations of this graph to graph the given function. $$g(x)=\sqrt{x}+2$$