QuestionIf $f(29)=26$ and $f$ is one-to-one, what is $f^{-1}(26) ?$ $f^{-1}(26)=$ $\square$

Studdy Solution

STEP 1

1. We are given that $f(29) = 26$ .
2. The function $f$ is one-to-one.
3. We need to find $f^{-1}(26)$ .

STEP 2

1. Understand the properties of a one-to-one function.
2. Use the given information to find the inverse function value.

STEP 3

Understand that a one-to-one function means each output value is mapped from exactly one input value. Therefore, if $f(a) = b$ , then $f^{-1}(b) = a$ .

STEP 4

Given $f(29) = 26$ , apply the property of the inverse function:
Since $f(29) = 26$ , it follows that $f^{-1}(26) = 29$ .
The value of $f^{-1}(26)$ is:
$\boxed{29}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms