Inverse Functions Practice

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function. If f(x) = y, then f^-1(y) = x.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, swap x and y in the equation and solve for y.

Front

What is the inverse of the function f(x) = 2x + 3?

Back

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

Front

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

Back

If f(g(x)) = x and g(f(x)) = x, then f and g are inverse functions.

Front

How can you verify if two functions are inverses?

Back

Compose the functions: if f(g(x)) = x and g(f(x)) = x, they are inverses.

Front

What is the graphical representation of inverse functions?

Back

Inverse functions are reflections over the line y = x.

Front

What is the inverse of the ordered pair (a, b)?

Back

The inverse is (b, a).

Front

If f(x) = x^2, what is the inverse function?

Back

f^-1(x) = √x, but only for x ≥ 0 to maintain a function.

Front

What is the domain of an inverse function?

Back

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

Front

What is the range of an inverse function?

Back

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