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Basic Rules for finding the inverse of functions
The Inverse of Linear Functions
The Inverse of Quadratic Functions
100

What is the last step for solving the inverse of a function?

Change y to f-1(x)

100

True or false: the domain for a the inverse of a linear function is always

True

100

Why is the inverse of a quadratic function not a function?

The values of each input will be two outputs, one with +x and one with -x

200

Inverse of f(x) is not a function:

1. Linear function

2. Quadratic Function

3. Rational Expression

2. Quadratic Function

200

What's the inverse of f(x)=3x

f-1(x) = x/3

200

What's the inverse of f(x)=x2

f-1(x) = ±√x

300

What is the domain of this function's inverse: f(x) = x+4

x∈R

300

What's the inverse of f(x) = 2x?

f-1(x) = x/2

300

What is the inverse of the function f(x) = (x2+4)?

f-1(x) = ±√x-4

400
On which line does the f(x) reflect over in its inverse form?
The line y=x
400

What's the inverse of f(x) = 4x+5

f-1(x)=(x-5)/4

400

What is the inverse of the function f(x) = x2+4x+8

f-1(x) = -2±√x-4

500

If you have to find the inverse of a quadratic function given x-intercept form, what are the first few steps?

Change f(x) to y, expand the equation to get the standard form, then complete the square 

500

What's the inverse of f(x) = 5x+5?

f-1(x)=x/5-1

500

What is the inverse of the function f(x) = x2+6x+12

f-1(x) = -3±√x-3