3. Functions

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. g(1/2)

Use a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 6

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

Graph each piecewise-defined function.

In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)

Determine whether each relation defines a function, and give the domain and range.

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

A line segment through the center of each circle intersects the circle at the points shown. a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation.

Determine whether each relation defines y as a function of x. Give the domain and range. y=√(7-2x)

Find f/g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)

Let f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x² + x + 2. Evaluate the indicated function without finding an equation for the function. f(g[h (1)])

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. center (0, 4), radius 4

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

Find the domain of each function. f(x) = x² - 2x - 15

Find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²