6.6 F UNCTION O PERATIONS 6.7 I NVERSE R ELATIONS AND F UNCTIONS Algebra II w/ trig.

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6.6 F UNCTION O PERATIONS 6.7 I NVERSE R ELATIONS AND F UNCTIONS Algebra II w/ trig

I. Operations on Functions A. Sum: B. Difference: C. Product: D. Quotient:

II. Find the sum, difference, product, and quotient: A.

B.

III. A. B. Composition of Functions Means: Evaluate g(x) first, then use g(x) as the input for f. Means: Evaluate f(x) first, then use f(x) as the input for g.

IV. Let f(x) = x – 5 and g(x) = x 2 A. (f °g)(-3)B. (f °g)(2) C. (g ° f)(-3)D. (g ° f)(2)

6.7 Inverse Relations and Functions

I. Find the inverse function and graph the function and its inverse. A. f(x) = x + 3 - rewrite f(x) as y - interchange x and y - solve for y - rewrite y as f -1

B. f(x)= 2 / 3 x – 1 C. f(x) = 2x – 3 D. f(x) = 2x + 1 3

Homework Pre-AP p. 401-403 # 9-77 Every other odd p. 410-411 #9-61 Every other odd

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