Damn easy..!

Algebra Level 2

If a function f ( x ) f(x) has these two properties for any real number x x and y y

1. f ( x y ) = x f ( y ) 2. f ( 1 ) = 25 \mathbf{1.} f(xy)=xf(y) \\ \mathbf{2.} f(1)=25

What is the value of f ( 79 ) f(79) ?


The answer is 1975.

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Abdullah Shahriar by Abdullah Shahriar , 23, USA

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1 solution

Sujoy Roy
Dec 16, 2014

Put y = 1 y=1 we get, f ( x ) = x f ( 1 ) = 25 x f(x)=xf(1)=25x .

So, f ( 79 ) = 25 ∗ 79 = 1975 f(79)=25*79=\boxed{1975}

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