1.4 Inverse Functions

How do you find the inverse of a relation?

• The x's don't repeat

• You must swap the x and y values

• You keep the x and y values the same

• Cannot be Determined

Find the inverse of the following relation.

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Determine the inverse of the following relation.

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Does the inverse of this relation represent a function?

• Function

• Not a Function

Determine which of the following is the correct inverse of the following relation.

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When taking the inverse, the domain of relation becomes the _______ of the inverse.

• Domain

• Range

Determine the domain of the INVERSE of the following relation.

• {-9, -6, -3, 0, 3}

• {-9, -7, -6, -4, -3, -1, 0, 2, 3, 5}

• {-7, -4, -1, 2, 5}

• Cannot be Determined

Determine the range of the INVERSE of the following relation.

• {-5, -2, 1, 4, 7}

• {-11, -5, 1, 5}

• {-11, -5, -2, 1, 4, 5, 7}

• Cannot be Determined

How can you solve for the inverse of a function.

• Switch x and y, solve for x

• Solve for x

• Switch x and y, solve for y

• Solve for y

Determine the inverse of the following function.

 $f\left(x\right)\ =7x+2$  

•  $f^{-1}\left(x\right)=\frac{7x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2-x}{7}$  

•  $f^{-1}\left(x\right)=-7x-2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{7}$