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.+∞)

c) (-∞,+∞)

d)( -∞,1)∪(1,+∞)

Answer 1

Hey! lets solve this shall we ?

So, if we rearrange the function to be y = (x²+2) / x

The domain of this function is (-∞, 0) ∪ (0, ∞) and

The range of this function is approximately (-∞, -2√2] ∪ [2√2, ∞) when analyzing the graph of this function. So the closest answer is B.

I hope this helped!