7.1.2 Inverses of Relations and Functions − Practice
1. A relation consists of the following points. Identify the domain and range of the inverse relation.
2. Graph the function f ( x ) = 2 x − 5. Then identify its inverse and graph the inverse.
x y
2 3 5 7 8 − 1 0 4 5 6
3. Graph the function f ( x ) = 4 x + 3. Then identify its inverse and graph the inverse.
4. Identify the inverse of the function f ( x ) = 9 x − 2.
5. Identify the inverse of the function f ( x ) = −3 x + 11.
6. The radius of a cone is 28 cm. The volume is given by the formula π = V h (28 ) , 2 where h is the height of the cone. Identify the function that models the cone’s height as a function of its volume and use it to find the height of the cone if its volume is 5488 π cm 3 . 1 3
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