the one-to-one functions g and h are defined as follows

Question

g={(-5,8), (-2,7), (5,3), (8,9)}

h(x)=3x+2

Find the following.

g^-1(8)=

h^-1(x) =

(h o h^-1)(5) =

Answer 1

g^-1(8) = -5

x = 3h^-1(x) + 2

x - 2 = 3h^-1(x)

(x - 2) / 3 = h^-1(x)

(h o h^-1)(5) = 5