91Ó°ÊÓ

\(\operatorname{In} 9-14, y=f(x) .\) Find \(f(-3)\) for each function. \(f(x)=7-x\)

In \(6-12,\) tell whether the variables vary directly, inversely, or neither. Each day, Sophia works for \(h\) hours typing \(p\) pages of a report at a rate of 15 minutes per page.

In \(3-10,\) find each of the function values when \(\mathrm{f}(x)=4 x\) $$ \mathrm{f}^{-1}(\mathrm{f}(-6)) $$

In \(3-10\) , the coordinates of point \(P\) on the circle with center at \(C\) are given. Write an equation of each circle: a. in center-radius form b. in standard form. $$ P(1,1), C(6,13) $$

In \(3-10\) , evaluate each composition for the given values if \(f(x)=3 x\) and \(g(x)=x-2\) $$ \mathrm{f}\left(\mathrm{g}\left(\frac{2}{3}\right)\right) $$

In \(3-10,\) find each of the function values when \(\mathrm{f}(x)=4 x\) $$ \mathrm{f}\left(\mathrm{f}^{-1}(\sqrt{2})\right) $$

In \(3-10\) , evaluate each composition for the given values if \(f(x)=3 x\) and \(g(x)=x-2\) $$ g\left(f\left(\frac{2}{3}\right)\right) $$

In \(6-12,\) tell whether the variables vary directly, inversely, or neither. Each day, Brandon works for \(h\) hours typing 40 pages of a report at a rate of \(m\) minutes per page.

In \(3-10\) , the coordinates of point \(P\) on the circle with center at \(C\) are given. Write an equation of each circle: a. in center-radius form b. in standard form. $$ P(4,2), C(0,1) $$

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. \((\mathrm{gh})(x)\)