Question

Which inequality represents all the values of x for which the product below is defined?

x


A: x≥-1
B: x≥4
C:x≤4
D:x≥0

Answer 1

x is greater than or equal to 4 (x>_4)

Step-by-step explanation: a p e x

Answer 2

x≥0 is correct inequality.

D is correct.

Explanation:

We are given a function
`f(x)=x√(x)-4√(x)+1`

We need to find x where function is defined.

As we know negative inside the root not defined.

Inside the root value must be greater than equal to 0.

Here we have inside the root is x.

Therefore, x must be greater than equal to 0.

Inequality: x≥0

Please see attached graph for more clarification.

Hence, x≥0 is correct inequality.