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I would say that functions have inverses, rather than equations.

One simple way to find the inverse of a function is to switch the x and y:

The inverse of y = (3x+5)/2 is . . . x = (3y+5)/2.

You can take this inverse and solve it for y: (2)x=(2)(3y+5)/2 <=> 2x=3y+5 <=> <=> 3y+5=2x <=> 3y=2x-5 <=> y=(2x-5)/3.

Notice that in the original you multiply by 3, add 5, and divide by 2. On the inverse, you multiply by 2, subtract 5, and divide by 3. You do the inverse operations in the reverse order.

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12y ago

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