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find the inverse of the radical function y=-5+2/5√x

Sagot :

altavistard

Answer:

y = (25/4)(x + 5)^2

Step-by-step explanation:

1.  Interchange x and y, obtaining:  x = -5 + (2/5)√y

2.  Solve this result for y:  x + 5 = (2/5)√y

    Squaring both sides, we get (x + 5)^2 = (4/25)y

     Multiplying both sides by (25/5) cancels out the (4/25) coefficient:

      y = (25/4)(x + 5)^2       This is the inverse of the given function.

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