3. Functions

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=-x^2

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=x^2+3x+1

In Exercises 51–66, find a. (fog) (2)b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)

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

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

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. (fog) (0)

In Exercises 51–66, find a. (fog) (x)b. (go f) (x).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 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 67-74, finda. (fog) (x)b. the domain of f o g.f(x) = 2/(x+3), g(x) = 1/x

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

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

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

Given functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√x, g(x)=x+3