Answer:

Step-by-step explanation:
The following information is missing in the given question:

Using this we may solve the question as:
We are given the following in the question:
![f(x) = \sqrt{x}, x \in [0,9]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D%2C%20x%20%5Cin%20%5B0%2C9%5D)
We have to find the number c such that f(x) satisfies the Mean value theorem.
Mean Value theorem:
It states that if the function is differentiable in the closed interval [a,b], differentiable in the interval (a,b), then there exist c in (a,b) such that:

Now,

Continuity in [0,9]
Since a polynomial function is continuous everywhere, f(x) is continuous in [0,9]
Differentiability in (0,9)
Since a polynomial function is differentiable everywhere the given function is differentiable in interval (0,9)
Then, by mean value theorem:
