SOLUTION: f(x)= x^2-3x+9 and g(x)= -2x^2+5 find a)(f+g)(x) Find b)(f-g)(1) for A I got -x^2-3x+14 NEED HELP WITH B

Algebra ->  Linear-equations -> SOLUTION: f(x)= x^2-3x+9 and g(x)= -2x^2+5 find a)(f+g)(x) Find b)(f-g)(1) for A I got -x^2-3x+14 NEED HELP WITH B      Log On


   

Question 1085479: f(x)= x^2-3x+9 and g(x)= -2x^2+5
find a)(f+g)(x)
Find b)(f-g)(1)
for A I got -x^2-3x+14
NEED HELP WITH B
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=+x%5E2-3x%2B9 and g%28x%29=+-2x%5E2%2B5

a)
%28f%2Bg%29%28x%29+=+f%28x%29%2Bg%28x%29
%28f%2Bg%29%28x%29+=+x%5E2-3x%2B9-2x%5E2%2B5
%28f%2Bg%29%28x%29+=+-x%5E2-3x%2B14

b)
first find %28f-g%29%28x%29
%28f-g%29%28x%29=f%28x%29-g%28x%29
%28f-g%29%28x%29=x%5E2-3x%2B9-%28-2x%5E2%2B5%29
%28f-g%29%28x%29=x%5E2-3x%2B9%2B2x%5E2-5
%28f-g%29%28x%29=3x%5E2-3x%2B4
then,
%28f-g%29%281%29=3%2A1%5E2-3%2A1%2B4
%28f-g%29%281%29=3-3%2B4
%28f-g%29%281%29=4