91Ó°ÊÓ

For each pair of functions, find \(\left(\frac{f}{g}\right)(x)\) and give any \(x\) -values that are not in the domain of the quotient function. $$ f(x)=10 x^{2}-2 x, \quad g(x)=2 x $$

\(\quad\) Let \(f(x)=x^{2}\) and \(g(x)=2 x-1 .\) Match each expression in Column \(I\) with the description of how to evaluate it in Column II. \(\mathbf{II}\) A. Square 5 . Take the result and square it. B. Double 5 and subtract \(1 .\) Take the result and square it. C. Double 5 and subtract \(1 .\) Take the result, double it, and subtract 1 . D. Square \(5 .\) Take the result, double it, and subtract 1 . \(\mathbf{I}\) \((f \circ g)(5)\)

Evaluate each expression. $$ 4^{-1}+5^{-1} $$

Find each product. $$ (y-5)^{2} $$

Evaluate each expression. $$ 6^{-1}+7^{-1} $$

Find each product. $$ (a-3)^{2} $$

For each pair of functions, find \(\left(\frac{f}{g}\right)(x)\) and give any \(x\) -values that are not in the domain of the quotient function. $$ f(x)=18 x^{2}-24 x, \quad g(x)=3 x $$

\(\quad\) Let \(f(x)=x^{2}\) and \(g(x)=2 x-1 .\) Match each expression in Column \(I\) with the description of how to evaluate it in Column II. \(\mathbf{II}\) A. Square 5 . Take the result and square it. B. Double 5 and subtract \(1 .\) Take the result and square it. C. Double 5 and subtract \(1 .\) Take the result, double it, and subtract 1 . D. Square \(5 .\) Take the result, double it, and subtract 1 . \(\mathbf{I}\) \((g \circ f)(5)\)

Evaluate each expression. $$ 8^{-1}-3^{-1} $$

Find each product. $$ (x+1)^{2} $$