Input to the original function is 2

1
1.7 Inverse Functions
The output of the inverse function is the
original input
Input to the original function is 2
Out put 9 becomes input to the inverse function

9

2
2
2
Inverse Function
2 unknowns and 2 equations ? we could solve for
both a and b
f(2) 4 f-1(5) 1 are given
Inverse function is the opposite of the original
function
find y
interchange x and y
find g-1
y -25
3
Another inverse function example
Page 112 85
Composite Functions
x -1
given gf(x) fg(x)
4
Graphing Inverse Functions
Restrict the domain of function f(x) x2 - 2x,
so that an inverse function exists. Find an
expression for f-1
x gt1
x -1
Graphs are reflections of each other in the line
yx
yx
domain is restricted x0
5
Exponential and Logarithmic Functions
Exponent is the logarithm
Inverse
Exponent is another word for index Variable x is
the index
6
Example 1 Page 145
Plug in x/4 for x
Replace y with x
Plug in 4x for x
Unit function
7
Example 2 Page 145
Plug in (x6) for x
Replace y with x
8
(No Transcript)
9
Technology Tip P147
10
(1,3) and (3,1)
11
(No Transcript)
12
Page 149
13
Replace y with x
Technology Tip Draw Inverse
14
Example 9 Page 151
15
2.1
16
Example 2 - p163
An Equation with an Extraneous Solution
17
2.2
Intercepts, Zeros, and Solutions
18
(No Transcript)