Function Inverse Practice

Front

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

Back

f^-1(x) = x - 5

Front

Find the inverse of f(x) = x² - 5.

Back

f^-1(x) = ±√(x + 5)

Front

If f(x) = 5x - 3, what is f^-1(x)?

Back

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

Front

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

Back

(4, 1) and (6, 4)

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that f(f^-1(x)) = x.

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 inverse of f(x) = 3x + 2?

Back

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

Front

If f(x) = x³ - 1, what is f^-1(x)?

Back

f^-1(x) = ∛(x + 1)

Front

What is the relationship between the graphs of a function and its inverse?

Back

The graphs of a function and its inverse are reflections of each other across the line y = x.

Front

What is the inverse of f(x) = 1/x?

Back

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