Find the range of the following functions given by

Given:

To find: the range of function

Explanation: So, the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range

Given,

Let this be equal to y, so

But x²≥ 0

So

⇒ y>0 and 2y-3≥0

⇒ y>0 and 2y≥3

⇒ y>0 and

Or f(x)>0 and

Hence the range of f =