91Ó°ÊÓ

Determine whether the function has an inverse function. If it does, find the inverse function. $$ f(x)=\sqrt{x-2} $$

Find the average rate of change of the function from \(x_{1}\) to \(x_{2}\). $$ \text {Function} \quad \text {x-Values}$$ $$ f(x)=3 x+8 \quad x_{1}=0, x_{2}=3 $$

Use the Midpoint Formula three times to find the three points that divide the line segment joining \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) into four parts.

Find the average rate of change of the function from \(x_{1}\) to \(x_{2}\). $$ \text {Function} \quad \text {x-Values}$$ $$ f(x)=x^{2}+12 x-4 \quad x_{1}=1, x_{2}=5 $$

Find the domain of the function. $$ g(x)=\frac{1}{x}-\frac{3}{x+2} $$

Find the center and radius of the circle, and sketch its graph. $$ x^{2}+y^{2}=25 $$

Use the fact that the resistance of a wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross- sectional area. If \(\\# 28\) copper wire (which has a diameter of 0.0126 inch) has a resistance of 66.17 ohms per thousand feet, what length of \(\\# 28\) copper wire will produce a resistance of 33.5 ohms?

Find the center and radius of the circle, and sketch its graph. $$ x^{2}+y^{2}=16 $$

Find the domain of the function. $$ h(x)=\frac{10}{x^{2}-2 x} $$

Find the average rate of change of the function from \(x_{1}\) to \(x_{2}\). $$ \text {Function} \quad \text {x-Values}$$ $$ f(x)=x^{2}-2 x+8 \quad x_{1}=1, x_{2}=5 $$