# Why range of square root function cannot be  negative???

jitender lakhanpal
62 Points
10 years ago

hi vikram

to understand this you have to have a good knowledge of function and it''s inverse

the square root function( √x ) is actually inverse function of x 2

for a function to be invertible the function has to be bijective

and x is not bijective for whole of it''s domain - infinity to + infinity ( not onto )

so the domain has to be trimmed to 0 to + infinity [ 0 , infinity [

now when you inverse any function the domian becomes the range of the inverted function

so the range of  √x is [0 , + infinity [

vikram bedi
4 Points
10 years ago

But square root x has two values x and - x so it should not be a fiction

jitender lakhanpal
62 Points
10 years ago

hi vikram

root x is a function and for no value of x there are two values

can u give one pls give that value range and domain both is [0, infinity[ and the function is one to one and onto

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