SOLUTION: Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x+6 s(x)=3x write the expression for (r+s)(x),(r-s)(x) and evaluate (r*s)(-1)

Question 1037635: Suppose that the functions r and s
are defined for all real numbers x
as follows.
r(x)=2x+6
s(x)=3x
write the expression for (r+s)(x),(r-s)(x) and evaluate (r*s)(-1)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This is mostly about substitutions and doing simple arithmetic of functions.

Only doing the last part of the question,

-
Let x=-1.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Suppose that the functions r and s
are defined for all real numbers x
as follows.
r(x)=2x+6
s(x)=3x
write the expression for (r+s)(x),(r-s)(x) and evaluate (r*s)(-1)

(r * s)(- 1) means: r(- 1) * s(- 1)
r(x) = 2x + 6
r(- 1) = 2(- 1) + 6, or 4
s(x) = 3x
s(- 1) =3(- 1), or - 3
(r * s)(- 1) = r(- 1) * s(- 1) = 4(- 3) =
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