SOLUTION: find f(x+h)/h-f(x)/h when f(x)=1/x+3

Algebra ->  Functions -> SOLUTION: find f(x+h)/h-f(x)/h when f(x)=1/x+3      Log On


   

Question 242344: find f(x+h)/h-f(x)/h when f(x)=1/x+3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=1%2F%28x%2B3%29+
+f%28x%2Bh%29=1%2F%28x%2Bh%2B3%29
+f%28x%2Bh%29-f%28x%29=1%2F%28x%2Bh%2B3%29-1%2F%28x%2B3%29

+f%28x%2Bh%29-f%28x%29=%28%28x%2B3%29-%28x%2Bh%2B3%29%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29
+f%28x%2Bh%29-f%28x%29=%28-h%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29
+%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-1%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29
When h-->0, then
+%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-1%29%2F%28%28x%2B3%29%5E2%29