SOLUTION: How do I solve this problem. Find f(-x)-f(x) for the given function. f(x)=x^2-3x+7

Algebra ->  Functions -> SOLUTION: How do I solve this problem. Find f(-x)-f(x) for the given function. f(x)=x^2-3x+7      Log On


   

Question 316300: How do I solve this problem.
Find f(-x)-f(x) for the given function.
f(x)=x^2-3x+7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First compute f%28-x%29:

f%28x%29=x%5E2-3x%2B7 Start with the given function.


f%28-x%29=%28-x%29%5E2-3%28-x%29%2B7 Replace 'x' with -x


f%28-x%29=x%5E2-3%28-x%29%2B7 Square -x to get x%5E2


f%28-x%29=x%5E2%2B3x%2B7 Multiply -3 and -x to get 3x


Now let's evaluate f%28-x%29-f%28x%29


f%28-x%29-f%28x%29 Start with the given expression.


%28x%5E2%2B3x%2B7%29-%28x%5E2-3x%2B7%29 Plug in f%28-x%29=x%5E2%2B3x%2B7 and f%28x%29=x%5E2-3x%2B7


x%5E2%2B3x%2B7-x%5E2%2B3x-7 Distribute.


6x Combine like terms.


So f%28-x%29-f%28x%29=6x when f%28x%29=x%5E2-3x%2B7