SOLUTION: If f(x)=5-x-x^2, find in simplest form: 2f(x)-f(-x) Thank you :)

Algebra.Com
Question 387347: If f(x)=5-x-x^2, find in simplest form:
2f(x)-f(-x)
Thank you :)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If f(x)=5-x-x^2,
then f(-x) = 5+x-x^2
--------------------------------
find in simplest form:
2f(x)-f(-x)
= 2(5-x-x^2)-(5+x-x^2)
= 10-2x-2x^2-5-x+x^2
= 5-3x-x^2
=================
cheers,
Stan H.

RELATED QUESTIONS

If f(2x)=2/(2+x), x>0, find 2f(x). thank... (answered by josgarithmetic,MathTherapy)
If F(x)=x^2 +x and g(x)=x^- 1, find in simplest form. (answered by jim_thompson5910)
If f(x)=5x+2 and g(x)=-2x find the following. 1. f(0)+2f(2) 2. f(g(-2)) Thank... (answered by stanbon)
if f(x)=x^2 + 1, find and simplify the following (-2f(t))^2 + 5 = (answered by ikleyn)
If 2f(x)=f'(x) and f(0)=3, find... (answered by Fombitz)
find 2f(x) - f(x-1) for f(x)=3x^2 +... (answered by edjones)
For the following function, write a formula in simplest form where {{{ (g*f)(x) }}} , {{{ (answered by Fombitz)
For all real numbers {{{x}}}, the function {{{f(x)}}} satisfies {{{2f(x) + f(1-x) =... (answered by Edwin McCravy)
help!!!! if f(2x)=4/2+x calculate... (answered by psbhowmick)