Precalculus Question

Question

Determine the average rate of change of the function

g(x) = 1/x from x=1 to x=h with h>1. FULL STEP BY STEP answer please

Answer 1

Answer 2

Average RAte of Change AROC from x=1 to x=h>1

[ f(h) - f(1)] / (h-1)

numerator is 1/h - 1 = (1-h)/h

the denominator is just h-1

(1-h)/h divided by h-1 = (1-h)/h * 1/(h-1) = (1-h)/ [h(h-1)]

(1-h)/(h-1) is -1, so the quotient is -1/h