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ACT Preparation / Unit 10   ACT 0925 short lesson, about 20 seconds

Finding an Inverse

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The idea

To find an inverse, write y = f(x), swap x and y, and solve for y. The graph of the inverse reflects the graph of f over the line y = x.

In practice

y = 2x + 3; swap: x = 2y + 3; solve: y = (x − 3)/2.

Where people slip

The domain and range swap too: f's outputs become f⁻¹'s inputs.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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