91Ó°ÊÓ

Subtract \(5 a+2 b\) from the sum of \(2 a+b\) and \(3 a-4 b\)

Simplify. Assume that no denominator is zero and that \(0^{0}\) is not considered. $$ \frac{10 n^{7}}{15 n^{3}} $$

For each pair of functions fand \(g\), determine the domain of the sum, the difference, and the product of the two functions. $$ \begin{aligned} &f(x)=5 x-1\\\ &g(x)=2 x^{2} \end{aligned} $$

For each pair of functions fand \(g\), determine the domain of the sum, the difference, and the product of the two functions. $$ \begin{aligned} &f(x)=x+\frac{2}{x-1}\\\ &g(x)=3 x^{3} \end{aligned} $$

For each pair of functions fand \(g\), determine the domain of the sum, the difference, and the product of the two functions. $$ \begin{aligned} &f(x)=9-x^{2}\\\ &g(x)=\frac{3}{x-6}+2 x \end{aligned} $$

For each pair of functions \(f\) and \(g,\) determine the domain of \(f / g\) $$ \begin{aligned} &f(x)=x^{4}\\\ &g(x)=x-3 \end{aligned} $$

Evaluate polynomial for \(x=3\) and for \(x=-3\). \(-5 x+7\)

Subtract. $$ \begin{aligned} &\begin{array}{r} {5 x^{4}-2 x^{3}+6 x^{2}} \\ {-\left(7 x^{4} \quad+7 x^{2}\right)} \\ \hline \end{array}\\\ &= \end{aligned} $$

Evaluate polynomial for \(x=3\) and for \(x=-3\). \(-3 x^{3}+7 x^{2}-4 x-8\)

Find the slope of the line containing the points \((3,2)\) and \((-7,5) .[3.5]\)