Range of ✓x-1?

1 Answer
Feb 22, 2018

If the function given is #sqrt{x}-1#
#\text{Range}=[-1\ ,\ infty)#

If the given function is #sqrt{x-1}#
#\text{Range}=[0\ ,\ infty)#

Explanation:

Range is defined as the values of the dependent variable for which the function is defined.

The radical function of the form #c\sqrt{ax+b}+k# has range #f\(x)\ge k#

So, if our given function is #\sqrt{x}-1#, the range would be:

#f(x)\ge -1#

And, if our give function is #\sqrt{x-1}#, the range would be:

#f(x)\ge 0#

That's it!