Question

given the function f(x)=3√x-2; What restriction is there on the value uner the square root symbol? In other words what can't you do with a square root expression? ...?

Answer 1

You are unable to take the cube root of a negative value

Answer 2

x must be greater than or equals to 2

Explanation:

Here we follow the rule , which says that , the term inside the square root must not be less than 0. It is because, square of any real number whether positive or negative always results in a positive real number. Hence , there can not be negative real number whose sqaure root exists.

Hence

In order to function to be defined ,

x-2>=0

Adding 2 on both sides we get

x>=2

Hence this is our condition.