91Ó°ÊÓ

\(f\) and \(g\) are defined by the following tables. Use the tables to evaluate each composite function. $$\begin{array}{c|c}\hline x & f(x) \\\\\hline-1 & 1 \\\\\hline 0 & 4 \\\\\hline 1 & 5 \\\\\hline 2 & -1 \\ \hline\end{array}$$ $$\begin{array}{c|c}\hline x & g(x) \\\\\hline-1 & 0 \\\\\hline 1 & 1 \\\\\hline 4 & 2 \\\\\hline 10 & -1 \\ \hline\end{array}$$ $$(g \circ f)(-1)$$

\(f\) and \(g\) are defined by the following tables. Use the tables to evaluate each composite function. $$\begin{array}{c|c}\hline x & f(x) \\\\\hline-1 & 1 \\\\\hline 0 & 4 \\\\\hline 1 & 5 \\\\\hline 2 & -1 \\ \hline\end{array}$$ $$\begin{array}{c|c}\hline x & g(x) \\\\\hline-1 & 0 \\\\\hline 1 & 1 \\\\\hline 4 & 2 \\\\\hline 10 & -1 \\ \hline\end{array}$$ $$(g \circ f)(0)$$

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. The domain of \(f-g\)

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. The domain of \(\frac{f}{g}\)

$$\text { If } f(x)=3 x+7, \text { find } \frac{f(a+h)-f(a)}{h}$$

Give an example of a relation with the following characteristics: The relation is a function containing two ordered pairs. Reversing the components in each ordered pair results in a relation that is not a function.

Let \(f(x)=x^{2}+4 x \quad \text { and } \quad g(x)=2-x\) Find each of the following. The domain of \(f g\)

If \(f(x+y)=f(x)+f(y)\) and \(f(1)=3,\) find \(f(2), f(3)\) and \(f(4) .\) Is \(f(x+y)=f(x)+f(y)\) for all functions?

The function \(f(x)=0.4 x^{2}-36 x+1000\) models the number of accidents, \(f(x)\), per 50 million miles driven as a function of \(a\) driver's age, \(x,\) in years, for drivers from ages 16 through \(74,\) inclusive. The graph of f is shown. Use the equation for f to solve. (GRAPH CAN'T COPY). Find and interpret \(f(20)\). Identify this information as a point on the graph of \(f\).

The function \(f(x)=0.4 x^{2}-36 x+1000\) models the number of accidents, \(f(x)\), per 50 million miles driven as a function of \(a\) driver's age, \(x,\) in years, for drivers from ages 16 through \(74,\) inclusive. The graph of f is shown. Use the equation for f to solve. (GRAPH CAN'T COPY). Find and interpret \(f(50)\). Identify this information as a point on the graph of \(f\).