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Inverse Functions

Inverse Functions. Inverse Functions. Graphically, the x and y values of a point are switched. The point (4, 7). has an inverse point of (7, 4). AND. The point (-5, 3). has an inverse point of (3, -5). Graphically, the x and y values of a point are switched.

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Inverse Functions

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  1. Inverse Functions Inverse Functions

  2. Graphically, the x and y values of a point are switched. The point (4, 7) has an inverse point of (7, 4) AND The point (-5, 3) has an inverse point of (3, -5)

  3. Graphically, the x and y values of a point are switched. If the function g(x) contains the points then its inverse, g-1(x), contains the points

  4. y = f(x) y = x The graph of a function and its inverse are mirror images about the line y = f-1(x) y = x

  5. For any function f: dom f = ran f -1 ran f = dom f -1

  6. Steps for Finding the Inverse of a Function y = f -1(x) Solve for y Trade x and y places Replace f(x) with y

  7. Find the inverse : f(x) = 6x - 12 y = 6x - 12 x = 6y - 12 f(x)-1 = 1x + 2 6

  8. Find the inverse of or

  9. Given the function : y = 3x2 + 2 find the inverse: x = 3y2 + 2

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