Question

Mean value theorem question?
determine whether f satisfies the hypotheses of the mean value on [a,b], and, if so, find all numbers c in (a,b) such that f(b) - f(a) = f'(c)(b-a).

f(x)= (x+3)/(x-2) on [-2,3]

Answer 1

is this continuous on the closed interval \([-2,3]\) ?

Answer 2

hint: what is the domain of \(f(x)=\frac{x+3}{x-2}\) ?

Answer 3

No it is not

Answer 4

i thought there was some rule where it had to be on the open interval?

Answer 5

Isn't @satellite73 right?