3. Functions

In Exercises 95–96, find all values of x satisfying the given conditions. f(x) = 2x − 5, g(x) = x² − 3x + 8, and (ƒ o g) (x) = 7.

If (fg)(x) = 4x²−x−5, find f and g.

Let ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f/g)(-1)

Let ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (g ○ ƒ)(x)

Let ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (g ○ ƒ)(3)

Let ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. the domain of ƒ ○ g

Use the table to evaluate each expression, if possible. (ƒ+g)(1)

Use the table to evaluate each expression, if possible. (f-g)(3)

Use the tables for ƒ and g to evaluate each expression. (g∘ƒ)(-2)

Use the tables for ƒ and g to evaluate each expression. (ƒ∘g)(3)

Find the inverse of f(x)=(x−10)/(x+10).

Find the inverse of f(x) = x^3 + 2

The functions in Exercises 11-28 are all one-to-one. For each function,a. Find an equation for f^-1(x), the inverse function.b. Verify that your equation is correct by showing that f(ƒ^-1 (x)) = = x and ƒ^-1 (f(x)) = x. f(x) = (x+2)³

The functions in Exercises 11-28 are all one-to-one. For each function,a. Find an equation for f^-1(x), the inverse function.b. Verify that your equation is correct by showing that f(ƒ^-1 (x)) = = x and ƒ^-1 (f(x)) = x. f(x) = x³ +2

The functions in Exercises 11-28 are all one-to-one. For each function,a. Find an equation for f^-1(x), the inverse function.b. Verify that your equation is correct by showing that f(ƒ^-1 (x)) = = x and ƒ^-1 (f(x)) = x. f(x) = 2x + 3