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Section 1.5

Section 1.5. Inverse Functions. One-to-One: A function has an inverse if and only if it is one-to-one f(a) = f(b) means a = b. Inverse Functions. How to find the inverse of a function 1) Use the Horizontal Line Test to decide if the function has an inverse

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Section 1.5

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  1. Section 1.5

  2. Inverse Functions • One-to-One: A function has an inverse if and only if it is one-to-one f(a) = f(b) means a = b

  3. Inverse Functions • How to find the inverse of a function 1) Use the Horizontal Line Test to decide if the function has an inverse 2) Replace f(x) with y 3) Switch x and y 4) Solve for y

  4. Inverse Functions • How to verify two functions are inverses of each other? If f(x) and g(x) are inverses of each other, then f(g(x)) = g(f(x)) = x

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