91Ó°ÊÓ

For the following exercises, evaluate the function \(f\) at the values \(f(-2), f(-1), f(0), f(1),\) and \(f(2)\). $$ f(x)=3^{x} $$

For the following exercises, use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). $$f(x)=5 x+7, g(x)=4-2 x^{2}$$

For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. $$ n(x)=\frac{1}{3}|x-2| $$

For the following exercises, use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). $$f(x)=\sqrt{x+4}, g(x)=12-x^{3}$$

Describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. $$n(x)=\frac{1}{3}|x-2|$$

Use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). $$ f(x)=\sqrt{x+4}, g(x)=12-x^{3} $$

For the following exercises, evaluate the expressions, given functions \(f, g\), and \(h\) : $$ f(x)=3 x-2 \quad g(x)=5-x^{2} \quad h(x)=-2 x^{2}+3 x-1 $$ $$ 3 f(1)-4 g(-2) $$

For the following exercises, use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). $$f(x)=\frac{1}{x+2}, g(x)=4 x+3$$

For the following exercises, evaluate the expressions, given functions \(f, g\), and \(h\) : $$ f(x)=3 x-2 \quad g(x)=5-x^{2} \quad h(x)=-2 x^{2}+3 x-1 $$ $$ f\left(\frac{7}{3}\right)-h(-2) $$

For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. $$ p(x)=\left(\frac{1}{3} x\right)^{3}-3 $$