Inverse Functions Day 1

Front

What is the inverse of g(x)?

Back

g^-1(x)

Front

Find the inverse of the function f(x) = 3x - 5.

Back

f^-1(x) = (x + 5)/3

Front

The inverse has been reflected over which line?

Back

y = x

Front

Determine f^-1(2) given f(1) = -3, f(2) = -2, f(-1) = 2, f(3) = -1.

Back

-1

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 operation of the original function.

Front

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

Back

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

Front

What is the relationship between a function and its inverse?

Back

If f(a) = b, then f^-1(b) = a.

Front

How do you find the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f^-1(x).

Front

What is the domain of an inverse function?

Back

The range of the original function.