Adv Algebra M3.T1 Formative 1 Practice

The inverse function is $$f^{-1}(x) = \frac{\text{cube root}(x + 3)}{2}$$ .

Yes, it is invertible.

The function is invertible for $$x \ge 3$$ .

Yes, it is invertible.

The function is $$f(x) = \sqrt{x - 2} + 5$$ .

An invertible function is a function that has an inverse, meaning for every output there is a unique input.

A one-to-one function is significant because it ensures that each output corresponds to exactly one input, which is necessary for the function to be invertible.

A function is invertible if it passes the horizontal line test, meaning no horizontal line intersects the graph more than once.

The general form of an inverse function is $$f^{-1}(x)$$ , which undoes the action of the original function $$f(x)$$ .

The relationship is that if $$f(a) = b$$ , then $$f^{-1}(b) = a$$ .