Question

The one-to-one functions G and H are defined as follows.
g={(-9,8),(-3,-5),(6,0),(8,1)}
h(x)=3x+2
find the following:
g^-1(8)=
h^-1(x)=
(hoh^1)(5)=

Answer 1

g^-1 = {(8,-9),(-5,-3),(0,6),(1,8)}
so
g^-1(8) = -9
h^-1(x) = (x-2)/3 (y=3x+2 implies (y-2)/3 = x, then switch the x and y)
(h dot h^-1)(x) = x so (h dot h^-1)(5) = 5

Answer 2

thank you:)