Question

Consider f(x)=root(x-5)
Find the value of x for which f is undefined

Answer 1

x < 5

Explanation:

For real numbers, you can take the square root of a positive number and of zero. You cannot take the square root of a negative number.

The radicand, x - 5, cannot be negative.

If the radicand is negative, the function is undefined.

x - 5 < 0

x < 5