SOLUTION: Find (f(x+h)-f(x))/(h) for f(x)=(1-x)/(x)

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Question 26157: Find (f(x+h)-f(x))/(h) for f(x)=(1-x)/(x)
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
f(x+h) = %281-%28x%2Bh%29%29%2F%28x%2Bh%29
f(x+h) = %281-x-h%29%29%2F%28x%2Bh%29

f(x+h) - f(x) = +%281-x-h%29%2F%28x%2Bh%29+-+%28%281-x%29%2Fx%29+
f(x+h) - f(x) = +%28x%281-x-h%29+-+%28x%2Bh%29%281-x%29%29%2F%28x%28x%2Bh%29%29+
f(x+h) - f(x) = +%28%28x-x%5E2-hx%29+-+%28x-x%5E2%2Bh-hx%29%29%2F%28x%5E2+%2B+hx%29+
f(x+h) - f(x) = +%28x-x%5E2-hx-x%2Bx%5E2-h%2Bhx%29%2F%28x%5E2+%2B+hx%29+
f(x+h) - f(x) = +%28-h%29%2F%28x%5E2+%2B+hx%29+

(f(x+h) - f(x))/h = +%28-h%29%2F%28h%28x%5E2+%2B+hx%29%29+
(f(x+h) - f(x))/h = +%28-1%29%2F%28x%5E2+%2B+hx%29+
(f(x+h) - f(x))/h = +%28-1%29%2F%28x%28x%2Bh%29%29+

jon.