3. Functions

Write the standard form of the equation of the circle with the given center and radius. Center (3, 2), r = 5

In Exercises 31–50, find f/g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)

Find f/g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

Use the graphs of f and g to solve Exercises 83–90.

Find (g-f) (-2).

Determine whether each relation defines a function, and give the domain and range. {(2,5),(3,7),(3,9),(5,11)}

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, 0) and (3,-4)

Choose the correct answer: For function ƒ, the notation ƒ(3) means

A. the variable f times 3, or 3f.

B. the value of the dependent variable when the independent variable is 3.

C. the value of the independent variable when the dependent variable is 3.

D. f equals 3.

Find all values of x satisfying the given conditions. f(x) = 2x − 5, g(x) = x² − 3x + 8, and (ƒ o g) (x) = 7.

Determine whether each relation defines a function. {(2,4),(0,2),(2,6)}

Find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)

Determine the intervals of the domain over which each function is continuous.

Find the domain of each function. g(x) = 4/(x - 7)

Write the standard form of the equation of the circle with the given center and radius. Center (-4, 0), r = 10

Find f−g and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)