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Depdendent Variable

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Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Dependent Variable

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Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

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Finding the Equation of an Inverse Function

Example

Given , find f^-1(x).

Solution

Step 1	Replace f(x) with y.	y
Step 2	Switch the variables y and x.	x
Step 3	Solve for y.
	Multiply each side by the LCD, 2y.	2y Â· x
	Simplify. Add 20y to both sides. Factor out y.	2xy 2xy + 20y y(2x + 20)	= 7 - 20y = 7 = 7
	Divide both sides by 2x + 20.	y
Step 4	Replace y with f^-1(x).	f^-1(x)

So, the inverse of is f^-1(x)

Note:

Here is another way to solve for y: