#### Answer

a) $g^{-1}(2)$ = 4
b) $g^{-1}(5)$ = 7
b) $g^{-1}(6)$ = 8

#### Work Step by Step

The function is one-to-one
a) Using the graph, find where g(x) = 2. The coordinate is (4, 2). Therefore $g^{-1}(2)$ = 4
b) Using the graph, find where g(x) = 5. The coordinate is (7, 5). Therefore $g^{-1}(5)$ = 7
c) Using the graph, find where g(x) = 6. The coordinate is (8, 6). Therefore $g^{-1}(6)$ = 8