Inverse Operations
Opperations that undo eachother
Addition
Subtraction
Multiplication
Division
Squaring
Square
Rooting
Recognizing addition
and Subtraction
Recognizing multiplication
and division
Recognizing squaring
and square rooting
Inverse of a Quadratic Function is
a Square Root Function
Li
ne
of
Re
f(x f
)= lec
x
tio
n
It is hard to
visulaize but the
red function was
fliped over the blue
line to create the
green inverse.
Function
Inverse of
Function
Notice the points
are switched, this
means the domain
and range has
switched.
Linear
Functions
Quadratic
Functions
In order to r
emove
the square
by square
rooting the
part being
squared mu
st be
alone on on
e side.
Square Root
Functions
In order to remove
the square root by
squaring, it must
be alone on one
side first
The equations changes but the steps to do not.
Use the right inverse opperations to rearange
the equations where y is on one side.
Inverse of Exponintial Equations
This is a new function it is called
Logarithmic function or just log for
short.
as
s
e
l
u
R
Same
se
r
e
v
n
i
r
all othe
st
u
j
,
s
n
o
i
equat
erse
v
n
i
t
e
r
diffe
ns.
o
i
t
a
r
e
p
o
The log is used when we
have an x in the exponent
(aka exponential) in order
to remove it. Like square
rooting is the inverse of
squaring, then the
inverse of exponential is
logarithmic.