SOLUTION: Suppose that the functions "r" and "s" are defined for all real numbers "x" as follows. r(x)=3x-2 s(x)=6x Write the expressions for (r*s)(x) and (r-s)(x) and evaluate (r+s)(

Algebra ->  Expressions-with-variables -> SOLUTION: Suppose that the functions "r" and "s" are defined for all real numbers "x" as follows. r(x)=3x-2 s(x)=6x Write the expressions for (r*s)(x) and (r-s)(x) and evaluate (r+s)(      Log On


   

Question 1091714: Suppose that the functions "r" and "s" are defined for all real numbers "x" as follows.
r(x)=3x-2
s(x)=6x
Write the expressions for (r*s)(x) and (r-s)(x) and evaluate (r+s)(-2).

(r*s)(x)=?
(r-s)(x)=-3x-2
(r+s)(-2)=?''
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
r%28x%29s%28x%29=%283x-2%29%286x%29=18x%5E2-12x
.
.
.
r%28x%29%2Bs%28x%29=3x-2%2B6x=9x-2
%28r%2Bs%29%28-2%29=9%28-2%29-2
Work that out fir the final answer.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
r%28x%29=3x-2
s%28x%29=6x
Write the expressions for %28r%2As%29%28x%29 and %28r-s%29%28x%29 and evaluate %28r%2Bs%29%28-2%29.

%28r%2As%29%28x%29=%283x-2%29%2A6x=18x%5E2-12x
%28r-s%29%28x%29=3x-2-6x=-3x-2
%28r%2Bs%29%28-2%29=3%28-2%29-2%2B6%28-2%29=-6-2-12=-20