find f(-x) when f(x)= x/x2+7

Question

find value for the function

 

find f(-x) when f(x)=x/x²+7

Answer 1

f(x) = x/(x² + 7)

 

f(-x) = (-x)/((-x)² + 7)

 

Since (-x)² = x², we have:

 

f(-x) = -x/(x²+7) = -f(x)

 

So the function has odd symmetry.