Find the Inverse of a Relation - Pre-Calculus
Card 0 of 28
What is the inverse function of
?
What is the inverse function of
?
To find the inverse function of

we replace the
with
and vice versa.
So

Now solve for 




To find the inverse function of
we replace the with
and vice versa.
So
Now solve for
Compare your answer with the correct one above
What is the inverse of
?
What is the inverse of ?
When trying to find the inverse of a point, switch the x and y values.
So, 
When trying to find the inverse of a point, switch the x and y values.
So,
Compare your answer with the correct one above
Find the inverse of the following function:

Find the inverse of the following function:
In order to find the inverse of the function, we need to switch the x- and y-variables.

After switching the variables, we have the following:

Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.


Divide both sides of the equation by 4.

Rearrange and solve.

In order to find the inverse of the function, we need to switch the x- and y-variables.
After switching the variables, we have the following:
Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.
Divide both sides of the equation by 4.
Rearrange and solve.
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:


Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:





Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function
.
Find the inverse of the function .
To find the inverse of
, interchange the
and
terms and solve for
.





To find the inverse of , interchange the
and
terms and solve for
.
Compare your answer with the correct one above
What point is the inverse of the
?
What point is the inverse of the ?
When trying to find the inverse of a point, switch the x and y values.
So

When trying to find the inverse of a point, switch the x and y values.
So
Compare your answer with the correct one above
What is the inverse function of
?
What is the inverse function of
?
To find the inverse function of

we replace the
with
and vice versa.
So

Now solve for 




To find the inverse function of
we replace the with
and vice versa.
So
Now solve for
Compare your answer with the correct one above
Find the inverse of the following function:

Find the inverse of the following function:
In order to find the inverse of the function, we need to switch the x- and y-variables.

After switching the variables, we have the following:

Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.


Divide both sides of the equation by 4.

Rearrange and solve.

In order to find the inverse of the function, we need to switch the x- and y-variables.
After switching the variables, we have the following:
Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.
Divide both sides of the equation by 4.
Rearrange and solve.
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:


Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:





Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function
.
Find the inverse of the function .
To find the inverse of
, interchange the
and
terms and solve for
.





To find the inverse of , interchange the
and
terms and solve for
.
Compare your answer with the correct one above
What point is the inverse of the
?
What point is the inverse of the ?
When trying to find the inverse of a point, switch the x and y values.
So

When trying to find the inverse of a point, switch the x and y values.
So
Compare your answer with the correct one above
What is the inverse of
?
What is the inverse of ?
When trying to find the inverse of a point, switch the x and y values.
So, 
When trying to find the inverse of a point, switch the x and y values.
So,
Compare your answer with the correct one above
What is the inverse function of
?
What is the inverse function of
?
To find the inverse function of

we replace the
with
and vice versa.
So

Now solve for 




To find the inverse function of
we replace the with
and vice versa.
So
Now solve for
Compare your answer with the correct one above
Find the inverse of the following function:

Find the inverse of the following function:
In order to find the inverse of the function, we need to switch the x- and y-variables.

After switching the variables, we have the following:

Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.


Divide both sides of the equation by 4.

Rearrange and solve.

In order to find the inverse of the function, we need to switch the x- and y-variables.
After switching the variables, we have the following:
Now solve for the y-variable. Start by subtracting 10 from both sides of the equation.
Divide both sides of the equation by 4.
Rearrange and solve.
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:


Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function.

Find the inverse of the function.
To find the inverse function, first replace
with
:

Now replace each
with an
and each
with a
:

Solve the above equation for
:





Replace
with
. This is the inverse function:

To find the inverse function, first replace with
:
Now replace each with an
and each
with a
:
Solve the above equation for :
Replace with
. This is the inverse function:
Compare your answer with the correct one above
Find the inverse of the function
.
Find the inverse of the function .
To find the inverse of
, interchange the
and
terms and solve for
.





To find the inverse of , interchange the
and
terms and solve for
.
Compare your answer with the correct one above
What point is the inverse of the
?
What point is the inverse of the ?
When trying to find the inverse of a point, switch the x and y values.
So

When trying to find the inverse of a point, switch the x and y values.
So
Compare your answer with the correct one above