Algebra 2 Ch.7 Notes Page 52 P52 7-6 Function Operations.

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Algebra 2 Ch.7 Notes Page 52 P52 7-6 Function Operations

Operations with Functions Domains are the x-values that are the domains of both functions. f(x) = 3x + 8 g(x) = 2x - 12 Addition (f + g)(x) = f(x) + g(x) Subtraction (f - g)(x) = f(x) - g(x)

Operations with Functions Domains are the x-values that are the domains of both functions. f(x) = x2 - 1 g(x) = x + 1 Multiplication (f x g)(x) = f(x) x g(x) Division (f/g)(x) = f(x)/g(x) g(x) ≠0

Find g(f(-5)) Find f(g(-5)) Composite Functions The output of the first function becomes the input for the second function. 1. Evaluate the inner function f(x) first 2. Use the Result at the input of the outer function g(x) Read as G of F of X f(x) = x - 2 g(x) = x2 Find g(f(-5)) Find f(g(-5))

Cost with 20% off Cost with Coupon for $5 off Example: Discount and % off You have a Coupon for $5 off any item in a store. The store is also having a 20% off sale. Cost with 20% off Cost with Coupon for $5 off f(x) = x - .2x = .8x g(x) = x - 5 Find g(f(x)) = 20% off first Find f(g(x)) = $5 off first How much more is any item if the Coupon is applied first?

the homework. Also include the homework number. HW #55 7-6 P400 #1,2,4,5,13,14,16,17,22-24,31-33,40,43 Please put your name and class period at the top of the homework. Also include the homework number.