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AP EAMCET20226 Jul 2022Morning ShiftMathematicsFunctionsActual

Let f be a function defined by f ( xy )= f(x) y for all positive real numbers x and y . If f(30)=20 , then f(40)=

Options

  1. A10
  2. B15
  3. C25
  4. D17

Correct answer

B. 15

Step-by-step solution

A function f is defined as aligned & f(x y)= f(x) y , x>0, y>0 & and f(30)=20 & f(40)=f (30 4 3 )=f(30) 3 4 =20 3 4 =15 aligned

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