Inverse Functions Practice

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

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

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

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

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

Inverse functions are reflections over the line y = x.

The inverse is (b, a).

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

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

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