3. Functions

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

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)])

Find c. (fog) (2) d. (go f) (2). f(x) = √x, g(x) = x − 1

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

Find all values of x satisfying the given conditions. f(x) = 2x − 5, g(x) = x² − 3x + 8, and (ƒ o g) (x) = 7.

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

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

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

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

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

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