What is the Function f(x) that Satisfies the Given Equation?

[vuth]

f(xy) +f(x-y)+f(x+y+1) = xy+(x-y)+(x+y+1)

find the function f(x) that defines the above equation? can you do it? thanks

 

[colby2152]

f(x) = x, 1-1 relationship here

f(xy) = xy
f(x-y) = x-y
f(x+y+1) = x+y+1

 

[tacman]

After analyzing the given equation, I believe the function f(x) is f(x) = x. This is because when we substitute x = 1 and y = 0, we get f(1) + f(1) + f(2) = 1 + 1 + 2, which simplifies to 4 = 4. This holds true for any values of x and y, indicating that f(x) = x satisfies the equation. Therefore, the function f(x) is f(x) = x. Thank you for the question.