91Ó°ÊÓ

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{h}{g}\right)(3) $$

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{g}{h}\right)(-1) $$

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{f}{g}\right)\left(\frac{1}{2}\right) $$

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{f}{g}\right)\left(\frac{3}{2}\right) $$

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{h}{g}\right)\left(-\frac{1}{2}\right) $$

Let \(f(x)=x^{2}-9, g(x)=2 x,\) and \(h(x)=x-3 .\) Find each of the following. $$ \left(\frac{h}{g}\right)\left(-\frac{3}{2}\right) $$

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. 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 . I $$ (f \circ g)(5) $$

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. 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 . I $$ (f \circ f)(5) $$

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. 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 . I $$ (g \circ g)(5) $$

For \(f(x)=2 x+3\) and \(g(x)=x+5,\) a student found \((f \circ g)(x)\) correctly as $$ (f \circ g)(x)=2 x+13 $$