Given f(xy)=f(x+y) and f(11)=11, what is f(49)?

pezgirl79u

pezgirl79u

Answered question

2022-10-31

Given f ( x y ) = f ( x + y ) and f ( 11 ) = 11, what is f ( 49 )?

Answer & Explanation

Tirioliwo

Tirioliwo

Beginner2022-11-01Added 12 answers

f ( x y ) = f ( x + y ) implies f ( x ) = f ( x 1 ) = f ( x + 1 ). So, 11 = f ( 11 ) = f ( 12 ) = = f ( 49 )
wasangagac4

wasangagac4

Beginner2022-11-02Added 3 answers

f ( 49 ) = f ( 0 + 49 ) = f ( 0 × 49 ) = f ( 0 ) = f ( 11 × 0 ) = f ( 11 + 0 ) = f ( 11 ) = 11

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