Final answer:
The x-intercepts of the equation y=(1-x²)/(2+x²) are x=-1 and x=1.
Step-by-step explanation:
To find the x-intercept(s) of the equation y=(1-x²)/(2+x²), we set y=0 and solve for x.
Setting y=0, we get:
0=(1-x²)/(2+x²)
Multiplying both sides by (2+x²), we get:
0=1-x²
Simplifying the equation, we have:
x²=1
Taking the square root of both sides, we get:
x=±1
So the x-intercepts of the equation y=(1-x²)/(2+x²) are x=-1 and x=1.