SOLUTION: The one-to-one functions g and h are defined as follows... g={(-4,-3), (1,6), (2,5)(5,1)} h(x)= 3x-13 Find the following. g^-1(5)= ? h^-1(x)= ? (h^-1 o h)(7)=? Thank y

Algebra ->  Expressions-with-variables -> SOLUTION: The one-to-one functions g and h are defined as follows... g={(-4,-3), (1,6), (2,5)(5,1)} h(x)= 3x-13 Find the following. g^-1(5)= ? h^-1(x)= ? (h^-1 o h)(7)=? Thank y      Log On


   

Question 1142144: The one-to-one functions g and h are defined as follows...
g={(-4,-3), (1,6), (2,5)(5,1)}
h(x)= 3x-13
Find the following.
g^-1(5)= ?
h^-1(x)= ?
(h^-1 o h)(7)=?
Thank you for any help :)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Find the following.

g^-1(5)

The value of x for which the y value is 5. Inspection shows it to be 2.

h^-1(x)

The value of x for which the y value is -1.
3x-13+=+-1
3x+=+-1%2B13+=+12
x+=+4

(h^-1 o h)(7)

By the definition of inverse functions, this is equal to 7. (Operating on an input value with a function and then operating on the result with the inverse function gets you back where you started.)