Find an Inverse Equation Algebraically

Find an Inverse Equation Algebraically

To find an inverse equation algebraically:

1. Switch the x and y in the equation.

2. Solve for y.

Algebraically Finding an Inverse

6 11y x

6 11x y 11 6x y 11

6xy

116x y

Find the inverse of the following:Switch x and y

Solve for y

Do not write y-1

Make sure to check with a table and graph on the calculator.

Algebraically Finding an Inverse

22 7 3x y

23 2 7x y

232 7x y

32 7x y

32 7x y

Find the inverse of the following:

32 7xy

Make sure to check with a table and graph on the calculator.

22 7 3y x

Switch x and y

Solve for y

Because x2=9 has two solutions: 3 & -3

Algebraically Finding an Inverse

310

4

yx

34 10x y

3 4 10x y

3 4 10x y

Find the inverse of the following:

1 3 4 10e x x

310

4

xe x Switch x and y

Really y =

Solve for y

Make sure to check with a table and graph on the calculator.

Algebraically Finding an Inverse

Find the inverse of the following: 4 3d x x

4 3x y

3 4x y

23

4

xy

3

4

xy

2

1 3

4

xd x

when 3x

Make sure to check with a table and graph on the calculator.

Switch x and y

Really y =

Solve for y

Restrict the Domain!

Full Parabola (too much)

Only Half Parabola

x=3