# Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Rational Expressions, Equations and Exponents Section: Inverse Functions

Problem: 1

Find the inverse function of y = 9 x .

Problem: 3

Find the inverse function of .

Problem: 5

Find an equation for the inverse relation:

y = 5 x – 5

Problem: 7

Find the inverse of the relation:

{(0, –2), (1, 0), (3, 4), (6, 10)}

Problem: 9

Find the inverse relation.

Problem: 11

Find the inverse power function.

Problem: 13

Find the inverse of a given relation and determine whether the inverse is a function.

{(7, 4), (8, 4)}

Problem: 15

Show that f ( x ) = x + 7 and g ( x ) = x – 7 are inverses.

Problem: 17

Show that f ( x ) = 2 x – 6 and g ( x ) = are inverses.

Problem: 19

Use the same coordinate axes to graph and its inverse. Find the equation of the inverse function.

Problem: 21

Graph the function f ( x ) = x + 6.

Then use the graph to determine whether the inverse of f is a function.

Problem: 23

Graph f ( x ) = x 2 – 4. Is the inverse of f a function?

Problem: 25

Graph the function f ( x ) = ( x + 2)( x –5).

Then use the graph to determine whether the inverse of f is a function.

Problem: 27

Find the inverse for a given function. Then graph the function and its inverse.

y = 5

Problem: 29

Graph the function and its inverse. Is the inverse a function?

f ( x ) = x + 4

Problem: 31

Find the equation of the function (in blue) and its inverse (in red) shown in the graph.