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).

Question

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).

Aman Sharma · Answer

Putting x and y =0, f(0).f(0) – f(0) =0 f(0) 2 - 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 f

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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).

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).

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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).

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).

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