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PLEASE HELP QUICK I DON'T KNOW HOW TO DO

PLEASE HELP QUICK I DON'T KNOW HOW TO DO-example-1
User Monis Majeed
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1 Answer

11 votes
11 votes

Answer:

1. 2

2. 30

Explanation:

1. The weird circle looking thing essentially means you're putting p(x) inside of q(x). This means you take the x in q(x) and replacing with the entire p(x)

so q(x) = -3x - 4

(q °p)(x) = -3 (-2x+4) -4 sorry I can't find the actual circle thing symbol

now distribute to get the simplified equation:

= 6x -12 -4

= 6x - 16

because you're doing (q - p )(3), you would plug 3 for x into the new equation

6(3) - 16 = 2

and thats you're answer for the first one

for the second one its the other way around, so you're putting all of q(x) into p(x)

take p(x) : -2x+4

and now replace the x with the entire q(x)

so (p - q)(x) = -2 (-3x-4) +4

simplify: = 6x+8+4 = 6x+12

so now since we're doing (p-q)(3), we need to plug in 3 for x in the new equation

= 6(3)+12 = 30

lmk if those were wrong or if my explanation was unclear, there's another way I can explain it even though its the same process :)

User Boneheadgeek
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3.2k points