Test 3-2

Front

What is the process to find the inverse of a function?

Back

Switch the x and y in the equation and solve for y.

Front

What are inverse functions?

Back

Functions that reverse the effect of each other. If f(x) gives y, then f^{-1}(y) gives x.

Front

How do you denote the inverse of a function g(x)?

Back

It is denoted as g^{-1}(x).

Front

What is the inverse of the function g(x) = -7x^5 + 7?

Back

g^{-1}(x) = @@rac{1}{-7} imes oot{5}{x - 7}@@.

Front

How do you find the inverse of a set of points?

Back

Switch the x and y coordinates of each point.

Front

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

Back

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

Front

What is the first step in finding the inverse of a function algebraically?

Back

Replace f(x) with y.

Front

What is the significance of the horizontal line test in relation to inverse functions?

Back

If a horizontal line intersects the graph of a function more than once, the function does not have an inverse.

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

What is the domain of the inverse function related to the range of the original function?

Back

The domain of the inverse function is the range of the original function.