3. Functions

In Exercises 1–30, find the domain of each function. f(x) = 1/[3/(x - 1) - 2]

Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(-1)

For the pair of functions defined, find (f/g)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-8

For the pair of functions defined, find (ƒ+g)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-5

For the pair of functions defined, find (ƒ-g)(x). Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+3

For the pair of functions defined, find (ƒ+g)(x). Give the domain of each. See Example 2. ƒ(x)=√(4x-1), g(x)=1/x

In Exercises 1–30, find the domain of each function. h(x) = √(x −2)+ √(x +3)

In Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²

Use the graph to evaluate each expression. See Example 3(a). (ƒ+g)(2)

In Exercises 31–50, find f−g and determine the domain for each function. f(x) = x -5, g(x) = 3x²

Use the graph to evaluate each expression. See Example 3(a). (ƒ-g)(-1)

In Exercises 31–50, find ƒ/g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

In Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

In Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

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