Answer:
Step-by-step explanation:
symmetry with respect to y-axis for y=f(x) means f(-x)=f(x)
in this case, y = f(x) = x / (x^2+4)
f(-x) = -x / ((-x)^2+4) = -x / (x^2+4) = -f(x)
so it is not symmetric to y-axis
symmetry with respect to x-axis for x=g(y) means g(-y)=g(y)
in this case, y = x / (x^2+4)
y*(x^2+4) = x
y*x^2 + 4y - x = 0
substitute -y into g(y)
(-y)*x^2 +4(-y) - x = 0
-y*x^2 - 4y - x = 0
y*x^2 + 4y + x = 0
so g(-y) is not equal to g(y)
so it is not symmetric to x-axis
