Question

if (f(9) = 20) and (f) is one-to-one, what is (f^{-1}(20))?

(f^{-1}(20) = )

Explanation:

Identify the given function relationship

Using the Inverse Function Definition and One-to-One Function knowledge points

$$ f(9) = 20 $$

Apply the definition of an inverse function

Using the Inverse Function Definition knowledge point

$$ f^{-1}(y) = x \iff f(x) = y $$

$$ f^{-1}(20) = 9 $$

Answer:

If \(f(9) = 20\) and \(f\) is one-to-one, what is \(f^{-1}(20)\)?

\(f^{-1}(20) =\) <blank>9</blank>