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Grade 11Algebra

if f: R--->R such that f(x)f(y) – f(xy) = x+y where x,y belongs to R . find f(0) where f(0) is not equal to 0 and hence find f(7).

Profile image of Harpreet
10 Years agoGrade 11
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1 Answer

Profile image of Aman Sharma
10 Years ago
Putting x and y =0,
f(0).f(0) – f(0) =0
f(0)- f(0)=0
f(0)[f(0)-1]=0
f(0) =1  or   f(0)=0
But f(0) = 0 is not equal to zero (Given)
 
Now Putting y =0,
f(0)f(x)-f(0)=x
f(x)=x+1
f(7)=8
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