# How do you find the point c in the interval #-4<=x<=6# such that f(c) is equation to the average value of #f(x)=2x#?

##### 1 Answer

Oct 12, 2017

The average value of a function

So we need to find the average value, then solve the equation

For our case we get

Solve:

Evaluating the integral we get:

Solve:

The only solution is