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Cloud [144]
3 years ago
15

If f(x) = (x - 3)/(x + 4), find f -1(x).

Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

  f^-1(x) = (4x +3)/(1 -x)

Step-by-step explanation:

Solve for y:

  f(y) = x

  (y -3)/(y +4) = x

  y -3 = xy +4x . . . . . . multiply by y+4

  y -xy = 4x +3 . . . . . . add 3-xy

  y(1 -x) = 4x +3 . . . . . factor out y

  y = (4x +3)/(1 -x) . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (4x +3)/(1 -x)

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