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## Homework Statement

Given the function f(x)= (x-2) / (x-5), determine an interval and a point where the ave. R.O.C and the instantaneous R.O.C are equal.

## Homework Equations

IROC = [ f(x+h) - f(x) ] /h

AROC = f(x

_{2}) - f(x

_{1}) / x

_{2}- x

_{1}

## The Attempt at a Solution

I know that in order to satisfy this, the x's must satisfy both equations when using the AROC and IROC formulas.

I'm not sure where to start, though.

I could do guess and check, but I need help for an algebraic method.