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Example Questions
Example Question #1 : Find The Inverse Of A Relation
What is the inverse function of
?
To find the inverse function of
we replace the with
and vice versa.
So
Now solve for
Example Question #2 : Find The Inverse Of A Relation
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:
Example Question #5 : Linear Algebra
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:
Example Question #6 : Linear Algebra
Find the inverse of the function .
To find the inverse of , interchange the
and
terms and solve for
.
Example Question #1 : Find The Inverse Of A Relation
What point is the inverse of the ?
When trying to find the inverse of a point, switch the x and y values.
So
Example Question #2 : Find The Inverse Of A Relation
What is the inverse of ?
When trying to find the inverse of a point, switch the x and y values.
So,
Example Question #5 : Find The Inverse Of A Relation
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.
Example Question #1 : Find The Inverse Of A Function
Find the inverse of,
.
In order to find the inverse, switch the x and y variables in the function then solve for y.
Switching variables we get,
.
Then solving for y to get our final answer.
Example Question #1 : Find The Inverse Of A Function
Find the inverse of,
.
First, switch the variables making into
.
Then solve for y by taking the square root of both sides.
Example Question #3 : Find The Inverse Of A Function
Find the inverse of the following equation.
.
To find the inverse in this case, we need to switch our x and y variables and then solve for y.
Therefore,
becomes,
To solve for y we square both sides to get rid of the sqaure root.
We then subtract 2 from both sides and take the exponenetial of each side, leaving us with the final answer.
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