inverse of a function

Front

What is the inverse of the function f(x) = 1/4x - 7?

Back

f^-1(x) = 4x + 28

Front

What is the inverse of the function f(x) = 3x - 5?

Back

f^-1(x) = 3x + 15

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

If the function f(x) goes through the points (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)

Front

What is the inverse of the coordinates (1, 2), (3, 8), (-3, 6)?

Back

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

Front

Define the term 'inverse function'.

Back

An inverse function reverses the operation of the original function.

Front

How do you find the inverse of a function algebraically?

Back

Replace f(x) with y, switch x and y, and solve for y.

Front

What is the graphical representation of an inverse function?

Back

The graph of an inverse function is a reflection of the original function across the line y = x.

Front

What is the condition for a function to have an inverse?

Back

The function must be one-to-one (bijective).

Front

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

Back

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