SOLUTION: HOW do you find the difference quotient and simplification of g(x)=1/x^2 g(x)-g(3)/x-3 when h does not equal Zero. I know that you must plug it in to the "x"s and you find a commo

Algebra ->  Functions -> SOLUTION: HOW do you find the difference quotient and simplification of g(x)=1/x^2 g(x)-g(3)/x-3 when h does not equal Zero. I know that you must plug it in to the "x"s and you find a commo      Log On


   

Question 654815: HOW do you find the difference quotient and simplification of g(x)=1/x^2
g(x)-g(3)/x-3 when h does not equal Zero. I know that you must plug it in to the "x"s and you find a common denominator for the top fraction, but i'm stuck there.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given: g%28x%29=1%2Fx%5E2

find:

g%28x%29-g%283%29%2F%28x-3%29

first find g%283%29...g%283%29 means that x=3 and plug it in

g%283%29=1%2F3%5E2

g%283%29=1%2F9...now you can find g%28x%29-g%283%29%2Fx-3

1%2Fx%5E2-%281%2F9%29%2F%28x-3%29

1%2Fx%5E2-%281%28x-3%29%2F9%29

%281-x%5E2%28x-3%29%29%2F9%29

%28-x%5E3-3x%5E2%2B1%29%2F9%29