Linear Inverses

Front

What is the inverse of y=(5/2)x?

Back

y = (2/5)x

Front

Are these functions y=(5/2)x and y=(2/5)x inverse functions?

Back

Yes

Front

What is the inverse of the given coordinates: (1, 2) (3, 4) (5, 6)?

Back

(2,1) (4,3) (6,5)

Front

What is the second step in finding the equation of the inverse of a function?

Back

Switch x and y

Front

What is the inverse of the points (1,3)(2,4)(6,8)?

Back

(3,1)(4,2)(8,6)

Front

Define an inverse function.

Back

An inverse function reverses the effect of the original function.

Front

What is the notation for the inverse of a function f(x)?

Back

f^(-1)(x)

Front

If f(x) = 2x + 3, what is f^(-1)(x)?

Back

f^(-1)(x) = (x - 3)/2

Front

What does it mean for two functions to be inverses of each other?

Back

f(f^(-1)(x)) = x and f^(-1)(f(x)) = x for all x in the domain.

Front

How do you find the inverse of a linear function?

Back

1. Replace f(x) with y. 2. Switch x and y. 3. Solve for y.