3. Functions

Let ƒ(x)=x²+3 and g(x)=-2x+6. Find each of the following. (ƒ+g)(3)

Find the domain of each function. f(x) = 1/(x²+1) - 1/(x²-1)

Find the domain of each function. h(x) = 4/(3/x - 1)

Let $\text{ƒ}\left(x\right)=x^2+3$ and $g\left(x\right)=-2x+6$. Find each of the following. See Example 1.

$\left(\text{ƒ}g\right)(-3)$

Let ƒ(x)=x²+3 and g(x)=-2x+6. Find each of the following. (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 (ƒg)(x).Give the domain of each. See Example 2.

ƒ(x)=3x+4, g(x)=2x-7

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)=2x^2-3x, g(x)=x^2-x+3

Find the domain of each function. f(x) = √(5x+35)

For the pair of functions defined, find (f/g)(x).Give the domain of each. See Example 2.

ƒ(x)=√(4x-1), g(x)=1/x

Find the domain of each function. f(x) = √(24 - 2x)

For the pair of functions defined, find (ƒg)(x). Give the domain of each. See Example 2.

ƒ(x)=√(4x-1), g(x)=1/x

Find the domain of each function. f(x) = (2x+7)/(x³ - 5x² - 4x+20)

Find f/g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1