3. Functions

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

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

Find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)

Find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)

In Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)

Find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2

Find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 2

Find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5

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. (fog) (0)

Find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1

In Exercises 59-64, 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. g (f[h (1)])

In Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x

Find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x

Express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = ∛(x² – 9)

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