SOLUTION: the functions r and s are defined for all real numbers x as r(x)=4x-4 and s(x)=3x,how do I write the expressions for (r-s)(x),(r+s)(x), and (rxs)(-1)

Algebra ->  Functions -> SOLUTION: the functions r and s are defined for all real numbers x as r(x)=4x-4 and s(x)=3x,how do I write the expressions for (r-s)(x),(r+s)(x), and (rxs)(-1)      Log On


   

Question 1090451: the functions r and s are defined for all real numbers x
as r(x)=4x-4 and s(x)=3x,how do I write the expressions for (r-s)(x),(r+s)(x), and (rxs)(-1)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if r%28x%29=4x-4 and s%28x%29=3x,then
%28r-s%29%28x%29=r%28x%29-s%28x%29
%28r-s%29%28x%29=4x-4-3x
%28r-s%29%28x%29=x-4


%28r%2Bs%29%28x%29=r%28x%29%2Bs%28x%29
%28r%2Bs%29%28x%29=4x-4%2B3x
%28r%2Bs%29%28x%29=7x-4
and
%28r%2As%29%28-1%29=....first find %28r%2As%29%28x%29
%28r%2As%29%28x%29=%284x-4%293x
%28r%2As%29%28x%29=12x%5E2-12x
now find %28r%2As%29%28-1%29
%28r%2As%29%28-1%29=12%28-1%29%5E2-12%28-1%29
%28r%2As%29%28-1%29=12%281%29%2B12
%28r%2As%29%28-1%29=12%2B12
%28r%2As%29%28-1%29=24