# Given the function #f(x)=(x+1)/x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1/2, 2] and find the c?

##### 1 Answer

Nov 11, 2017

Please see below.

#### Explanation:

**Hypothesis** :

True.

**Hypothesis:**

True. Remember that "differentiable" means "the derivative exists".

We have

**The conclusion** says that there is a

#f'(c) = (f(2)-f(1/2))/(2-(1/2))# .

To find those

So