The one-to-one functions g and f are defined as follows.

Question

The one-to-one functions g and f are defined as follows.

g={(-8,4),(0,-2),(1,2),(2-4)

h(x)=3x+10

Find the following.

g^-1(2)=

h^-1(x)=

(h^-1oh)(-4)=

Answer 1

g^-1(2) =1

g^(x) = (2,1)

find the y corresponding to x=2 in the inverse function

h^-1(x) = (x-10)/3

switch x and y and solve for the new y=h^-1(x)

h^-1(h(-4)) = -4

a composite of inverses = back where you started