What is the range of the function defined by f(x)=x+2/x

Question

√What is the range of the function defined by f(x)=x+2/x :

a) [2,+∞)

b) (-∞,-2√2)∪(2√2,+∞)

c) (-∞,+∞)

d)( -∞,1)∪(1,+∞)

please explain how to find range

Answer 1

I do not see the answer among the choices.

Sketch (or graph f) to see what happens.

HOWEVER, if you really meant (x+2)/x, then the answer is c.