Objective 4 - Inverse - Ximera

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Find the inverse of a function, if it exists.

Link to section in online textbook

First, watch this video to learn when a function has an inverse and how to find the inverse of a function. Feel free to pause the video and fill out the notes as you go.

Determine whether the function below is 1-1.

$f(x) = \sage {f1}$

If $f(x)$ is 1-1, find the inverse function. If $f(x)$ is not 1-1, put “NA”.

$f^{-1}(x) = \answer {\sage {f1Inverse}}$

To find the inverse of a function, switch $x$ and $y$ , then solve for $y$ . Don’t round.

Determine whether the function below is 1-1.

$f(x) = \sage {f2}$

If $f(x)$ is 1-1, find the inverse function. If $f(x)$ is not 1-1, put “NA”.

$f^{-1}(x) = \answer [format=string]{NA}$

To find the inverse of a function, switch $x$ and $y$ , then solve for $y$ . Don’t round.

Determine whether the function below is 1-1.

$f(x) = \sage {f3}$

If $f(x)$ is 1-1, find the inverse function. If $f(x)$ is not 1-1, put “NA”.

$f^{-1}(x) = \answer {\sage {f3Inverse}}$

To find the inverse of a function, switch $x$ and $y$ , then solve for $y$ . Don’t round.

Determine whether the function below is 1-1.

$f(x) = \sage {f4}$

If $f(x)$ is 1-1, find the inverse function. If $f(x)$ is not 1-1, put “NA”.

$f^{-1}(x) = \answer {\sage {f4Inverse}}$

To find the inverse of a function, switch $x$ and $y$ , then solve for $y$ . Don’t round.

Determine whether the function below is 1-1.

$f(x) = \sage {f5}$

If $f(x)$ is 1-1, find the inverse function. If $f(x)$ is not 1-1, put “NA”.

$f^{-1}(x) = \answer {\sage {f5Inverse}}$

To find the inverse of a function, switch $x$ and $y$ , then solve for $y$ . Don’t round.