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Math help ASAP!!!!!!!!!!

Math help ASAP!!!!!!!!!!-example-1
User Burger
by
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2 Answers

5 votes

Answer:


(r + s)(x)=4x+3


(r * s)(x)=3x^2+x-4


(r - s)(-1)=-3

Explanation:

We know that:


r(x) =x-1\\s(x)=3x+4

To find
(r + s) (x) we add the function
r (x) with the function
s (x)

So


(r + s)(x)=r(x)+s(x)


(r + s)(x)=x-1 + 3x+4


(r + s)(x)=4x+3

To find
(r * s) (x) we multiply the function
r (x) with the function
s (x)

So


(r *s)(x)=r(x)*s(x)


(r * s)(x)=(x-1)(3x+4)

Using the distributive property we have left that


(r * s)(x)=3x^2+4x-3x-4


(r * s)(x)=3x^2+x-4

To find
(r - s) (-1) we subtract the function
r (x) with the function
s (x) and then evaluate in (-1)

Then:


(r - s)(-1)=r(x)-s(x)


(r - s)(-1)=x-1 - (3x+4)


(r - s)(-1)=x-1-3x-4


(r - s)(-1)=-2x-5


(r - s)(-1)=-2(-1)-5


(r - s)(-1)=2-5


(r - s)(-1)=-3

User Bskinnersf
by
7.9k points
5 votes

Answer:

(r+s) (x) = 4x+3

(r*s) (x) = 3x^2 +x-4

(r-s) (-1) = -3

Explanation:

r(x) = x-1

s(x) = 3x+4

(r+s) (x) = x-1 + 3x+4

Combine like terms

= 4x+3

(r*s) (x) = ( x-1) ( 3x+4)

FOIL

= 3x^2 +4x-3x-4

= 3x^2 +x-4

(r-s) (x) = x-1 - (3x+4)

Distribute the minus sign

=x-1-3x-4

=-2x-5

Let x = -1

(r-s) (-1) = -2(-1) -5

2-5

-3

User Tommy Crush
by
7.2k points

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