91Ó°ÊÓ

Given the function \(p(c)=c^{2}+c\) a. Evaluate \(p(-3)\). b. Solve \(p(c)=2\).

Find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\). $$ h(x)=(5 x-1)^{3} $$

For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(\mathrm{g}(x))\) $$h(x)=(5 x-1)^{3}$$

For the following exercises, solve the inequality. If possible, find all values of \(a\) such that there are no \(x\) -intercepts for \(f(x)=2|x+1|+a\)

For the following exercises, use the values listed in Table 6 to evaluate or solve. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \boldsymbol{x} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \boldsymbol{f}(\boldsymbol{x}) & 8 & 0 & 7 & 4 & 2 & 6 & 5 & 3 & 9 & 1 \\\ \hline \end{array} $$ Find \(f(1)\).

Given the function \(f(x)=x^{2}-3 x\) a. Evaluate \(f(5)\). b. Solve \(f(x)=4\)

Find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\). $$ h(x)=\sqrt[3]{x-1} $$

For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(\mathrm{g}(x))\) $$h(x)=\sqrt[3]{x-1}$$

For the following exercises, solve the inequality. If possible, find all values of \(a\) such that there are no \(y\) -intercepts for \(f(x)=2|x+1|+a\)

For the following exercises, use a graphing utility to estimate the local extrema of each function and to estimate the intervals on which the function is increasing and decreasing. $$g(t)=t \sqrt{t+3}$$