Find the Inverse of a Relation - Pre-Calculus

When trying to find the inverse of a point, switch the x and y values.

So,

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.

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:

To find the inverse of , interchange the and terms and solve for .

When trying to find the inverse of a point, switch the x and y values.

So

To find the inverse function of

we replace the with and vice versa.

So

Now solve for

When trying to find the inverse of a point, switch the x and y values.

So,

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.

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:

To find the inverse of , interchange the and terms and solve for .

When trying to find the inverse of a point, switch the x and y values.

So

To find the inverse function of

we replace the with and vice versa.

So

Now solve for

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.

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:

To find the inverse of , interchange the and terms and solve for .

When trying to find the inverse of a point, switch the x and y values.

So