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Easy: Linear functions
To find f⁻¹, write y = f(x), swap x and y, and solve the new equation for y. The inverse undoes the function: operations are reversed and done in the opposite order. A quick check is that f(f⁻¹(x)) = x.
Find the inverse function.
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No. The −1 means the inverse function, which undoes f. The reciprocal 1/f(x) is a different thing.
Compose them: f(f⁻¹(x)) and f⁻¹(f(x)) should both simplify to x.
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