SOLUTION: The one-to-one functions g and h are defined as follows. g={(-3,0),(0,9),(3,2),(8,-4)} h(x)=2x-3 find the following.. g^-1(0)=? h^-1(x)=? (h(h^-1))(-9)=? ( For this last

Algebra.Com
Question 406060: The one-to-one functions g and h are defined as follows.
g={(-3,0),(0,9),(3,2),(8,-4)}
h(x)=2x-3
find the following..
g^-1(0)=?
h^-1(x)=?
(h(h^-1))(-9)=? ( For this last one, I wasn't sure how to write out( h composite of h^-1) (-9).

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The one-to-one functions g and h are defined as follows.
g={(-3,0),(0,9),(3,2),(8,-4)}
h(x)=2x-3
find the following..
g^-1(0)=-3
-----------------
h^-1(x)= (x+3)/2
-----------------------
(h(h^-1))(-9)= -9
========================
Cheers,
Stan H.
===============

RELATED QUESTIONS

The one-to-one functions and are defined as follows g={(0,-3),(3,6),(5,-5),(6,-1)}... (answered by stanbon)
The one-to-one functions g and h are defined as follows. g={(-8,-4), (-2,-7), (3,7),... (answered by ikleyn)
The one-to-one functions g and h are defined as follows.... (answered by ikleyn)
The one-to-one functions g and h are defined as follows. g = {(-7,4), (4,-7), (8,5),... (answered by adamsmith9037)
The one-to-one functions g and h are defined as follows. =g−8, 7,... (answered by ikleyn)
The one-to-one functions and are defined as follows g={(-2,9), (4,-2), (6,-4), (8,-1)} (answered by josgarithmetic)
Suppose the functions g, h, l are defined as follows: g(x) = 1/2x -3 h(x) = {{{... (answered by solver91311)
The one-to-one functions g and h are defined as follows. g={(-7,-6), (-5,4),... (answered by Edwin McCravy)
The one-to-one functions g and h are defined as follows. g={(-7,-6), (-5,4), (4,-7)(7,6)} (answered by stanbon)