91Ó°ÊÓ

For the following exercises, use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). \(f(x)=4 x+8, \quad g(x)=7-x^{2}\)

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

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

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 \(g(f(0))\). \(f(x)=\sqrt{x+4}, \quad g(x)=12-x^{3}\)

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

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 \(g(f(0))\). \(f(x)=\frac{1}{x+2}, \quad g(x)=4 x+3\)

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

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