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14 June, 03:57

If f (X) = 2x/7+4, which of the following is the inverse of f (x) ?

A. f¹ (x) = 2 (x+4) / 7

B. f¹ (x) = 2 (x-4) / 7

C. f¹ (x) = 7 (x-4) / 2

D. f¹ (x) = 7 (x+4) / 2

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Answers (1)
  1. 14 June, 04:56
    0
    Step-by-step explanation:

    f (x) = (2x / 7) + 4 ... change f (x) to y

    y = (2x / 7) + 4 ... switch ur x and y and solve for y

    x = 2y/7 + 4 ... subtract 4 from both sides

    x - 4 = 2y / 7 ... multiply by 7

    7 (x - 4) = 2y ... divide by 2

    7 (x - 4) / 2 = y ... answer C
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