Question

find the range of f(x)=3/x^2+x^-2+3​

Answer 1

Answer:

range=(3,∞)

Step-by-step explanation:

let 3/x² + 1/x² +3=y

now, (3+1+3x²)=yx²

4+3x²=yx²

yx²-3x²-4=0

x²(y-3)-4=0

x²=4/(y-3)

since x²≥0,

so, 4/(y-3)≥0

and y-3>0

y >3

range=(3,∞)