DF 7. 2 MATH 112 Discussion Forum 7 MATH 112 In the Textbook or ALEKS read Section 2.8 (objectives 2, 3) Composition of functions Ba. Is it true that the function defined by (fog)(x) is also called the composite of the functions f(x) and g(x) and represents a composite function? Bb. Is it true that (fo pl(x) = f(g(x)). It means take the function f(x) and replace the variable x with the function g(x)? Bc. Is the Example correct Example 2. Given f(x) = 2x and g(x) = vx - 1 Find the composition (fo gl(x) Step 1. Rewrite (f o p)(x) as (f o g)(x) = fig(x)) Step 2. Take the function f(x) = 2x and replace the variable x with the function g(x) =vx - 1. f(E(x]) = 2Vx - 1 9. Suppose that the functions q(x) and r(x) are defined as follows q(x) = x - 1 r(x) = -2x3 + 3 Find the following a) (gori(-2) b) (rog)(-2) Tip. First, find (go (x) = g(r(x)). Second, evaluate To evaluate a Difference Quotient. See Section 2.8 Examples 4, 5 9. Given f(x) = 5x3 - 1, a) Find f (x + h) Tip. Apply the formula (a + b)? = a3 + 2ab + b b) Find the difference quotient, {(th)-142, where had