91Ó°ÊÓ

In \(11-16,\) determine if the function has an inverse. If so, list the pairs of the inverse function. If not, explain why there is no inverse function. $$ \\{(1,4),(2,7),(1,10),(4,13)\\} $$

\(\operatorname{In} 9-14, y=f(x) .\) Find \(f(-3)\) for each function. \(f(x)=4\)

In \(11-18 :\) a. Find \(h(x)\) when \(h(x)=g(f(x)) .\) b. What is the domain of \(h(x) ?\) c. What is the range of \(\mathrm{h}(x) ?\) d. Graph \(\mathrm{h}(x)\) $$ f(x)=3 x, g(x)=x-1 $$

In \(8-13\) , the domain of \(f(x)=4-2 x\) and of \(g(x)=x^{2}\) is the set of real numbers and the domain of \(h(x)=\frac{1}{x}\) is the set of non-zero real numbers. a. Write each function value in terms of \(x\) . b. Find the domain of each function. \((g+3 f)(x)\)

Rectangles \(A B C D\) and \(E F G H\) have the same area. The length of \(A B C D\) is equal to twice the length of the \(E F G H\) . How does the width of \(A B C D\) compare to the width of \(E F G H ?\)

In \(11-18 :\) a. Find \(h(x)\) when \(h(x)=g(f(x)) .\) b. What is the domain of \(h(x) ?\) c. What is the range of \(\mathrm{h}(x) ?\) d. Graph \(\mathrm{h}(x)\) $$ \mathrm{f}(x)=x^{2}, \mathrm{g}(x)=4+x $$

In \(13-20\) : a. Graph each function. b. Is the function a direct variation? \(c\) . Is the function one-to-one? \(y=3 x\)

In \(8-13\) , the domain of \(f(x)=4-2 x\) and of \(g(x)=x^{2}\) is the set of real numbers and the domain of \(h(x)=\frac{1}{x}\) is the set of non-zero real numbers. a. Write each function value in terms of \(x\) . b. Find the domain of each function. \((-g f)(x)\)

a. Sketch the graph of \(y=|x|\) b. Sketch the graph of \(y=|x|+2\) c. Sketch the graph of \(y=|x|-2\) d. Describe the graph of \(y=|x|+a\) in terms of the graph of \(y=|x|\)

\(\operatorname{In} 9-14, y=f(x) .\) Find \(f(-3)\) for each function. \(y=\sqrt{1-x}\)