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# Common Core Standards: Math

# Math.CCSS.Math.Content.HSF-BF.B.4

**4. Find inverse functions.**

A lot of relationships are one way streets. Your students are probably facing that harsh reality in the form of unrequited love. They can buy bouquets of flowers and a heart-shaped boxes of chocolates, but it doesn't mean they'll get any back. Too bad they already ordered that enormous stuffed lovebug.

One-way relationships might be unavoidable in life, but math is much kinder (and your students should remember that). In mathematics, we can have relationships that are two-way streets. They're called **inverse functions**, and students should know how to find them.

Easier than finding love, anyway.

#### Standard Components

- Solve an equation of the form
*f*(*x*) =*c*for a simple function*f*that has an inverse and write an expression for the inverse.*For example, f(x) = 2x*^{3}or f(x) =^{(x + 1)}⁄_{(x – 1)}for x ≠ 1. - Verify by composition that one function is the inverse of another.
- Read values of an inverse function from a graph or a table, given that the function has an inverse.
- Produce an invertible function from a non-invertible function by restricting the domain.

#### Drills

### Aligned Resources

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