9.2 Review Worksheet (continued)
19. The cost of carpeting a room is $4 per square yard plus $100. Each square yard is equal to 9 square feet. a. Write a composite function for the cost of carpeting a room that covers x square feet.
b. Find the square footage of a room that costs $380 to carpet.
9.2.2 Functions and Their Inverses Use the horizontal-line test to determine whether the inverse of each relation is a function. 20. 21. 22.
Find the inverse of each function. Determine whether the inverse is a function, and state its domain and range. 23. f x x ( ) = 24. f ( x ) = 8 x 3 25. f x x ( ) =
3 5
x
1
+
x 5 9 6 +
26. f x
27. f ( x )
28. f x
x 8 = + +
( ) 5
= ( x − 4) 2
( )
=
282
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