3. Functions

In Exercises 51–66, find a. (fog) (2)b. (go f) (2)f(x) = x²+2, g(x) = x² – 2

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(-2)

In Exercises 51–66, find a. (fog) (2)b. (go f) (2) f(x) = 4-x, g(x) = 2x² +x+5

In Exercises 51–66, find a. (fog) (x)b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (g∘ƒ)(0)

In Exercises 51–66, find c. (fog) (2)d. (go f) (2).f(x) = √x, g(x) = x − 1

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)

In Exercises 51–66, find a. (fog) (x)b. (go f) (x)c. (fog) (2)d. (go f) (2). f(x) = 2x-3, g(x) = (x+3)/2

In Exercises 59-64, letf(x) = 2x - 5 g(x) = 4x - 1h(x) = x² + x + 2.Evaluate the indicated function without finding an equation for the function. g (f[h (1)])

In Exercises 59-64, letf(x) = 2x - 5 g(x) = 4x - 1h(x) = x² + x + 2.Evaluate the indicated function without finding an equation for the function. f(g[h (1)])

In Exercises 67-74, finda. (fog) (x)b. the domain of f o g. f(x) = √x, g(x) = x − 2

In Exercises 67-74, finda. (fog) (x)b. the domain of f o g. f(x) = x² + 4, g(x) = √(1 − x)

Given functions f and g, (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=-6x+9, g(x)=5x+7

Given functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=8x+12, g(x)=3x-1

In Exercises 75-82, express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = (3x − 1)^4