# Given the function #f(x)=x/(x+9)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,18] and find the c?

##### 1 Answer

The Mean Value Theorem has two hypotheses:

**H1** :

**H2** :

In this question,

**H1** is true because this function is a rational function and rational functions are continuous on their domains. So

**H2** is true because

The **conclusion** of MVT says there is a number

So we need to solve

I get