 Simplify the following. Section 1.7 1. Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composition:

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Presentation transcript:

 Simplify the following

Section 1.7

1. Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composition:

The set of real numbers that are in the domain of f and in the domain of g. The set of real numbers that are in the domain of f and in the domain of g, and that do not cause g(x)=0

 Find: a) (f+g)(x) b) (f+g)(4) c) The domain of f+g

 Find: a) (f+g)(x) b) (f+g)(2) c) The domain of f+g

 Find f+g, f-g, fg, and f/g. Find the domain of each.

 The output of the inside function is the input of the outside function.  Replace all x’s in f(x) with whatever g(x) equals  The domain of f(g(x)) is the set of x such that: 1. x is in the domain of g, and 2. g(x) is in the domain of f

 Find: a. b. c.

 Find: a. b. c.

 Find: a. b. The domain of f∘g

 Find: a. b. The domain of f∘g

 One function can be split up into the composition of two functions  Look for a polynomial in your function to call g(x)  What happens to that polynomial? Make that f(x)

 Express the given function h as a composition of two functions f and g so that h(x)=(f∘g)(x)

 Page 206 #1-45 Every Other Odd