3. Functions

In Exercises 1–30, find the domain of each function. f(x)=3(x-4)

Without using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2(ƒ-g)(2)

Without using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2(ƒ∘g)(2)

In Exercises 1–30, find the domain of each function. g(x) = 3/(x^2-2x-15)

In Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)

Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(-5)

Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ-g)(4)

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

Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(5)

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

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-6

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 (ƒg)(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. g(x) = √(x −2)/(x-5)