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Mathematics 21 Online
OpenStudy (anonymous):

Who can help me solve these?? Attaching picture

OpenStudy (anonymous):

This

OpenStudy (dayakar):

\[1)x ^{2}+6x-11\]

OpenStudy (dayakar):

2)\[-x^{2}-3\]

OpenStudy (dayakar):

are u following

OpenStudy (anonymous):

@dayakar yes

OpenStudy (dayakar):

3)\[5x^{2}-33x+28\]

OpenStudy (anonymous):

How did you get these answers? When I try to do it, I get weird numbers :/

OpenStudy (misty1212):

HI !

OpenStudy (misty1212):

you should not get numbers, you should get expressions with an \(x\) in them

OpenStudy (dayakar):

\[3x-7+x^{2}+3x-4\]

OpenStudy (misty1212):

for example \[3x-7-(x^2+3x-4)\] distribute the minus sign\[3x-7-x^2-3x+4\] then combine like terms to get \[-x^2-3\]

OpenStudy (dayakar):

yes,it is

OpenStudy (anonymous):

so confused >.<

OpenStudy (dayakar):

which one

OpenStudy (anonymous):

#3, how'd you get 5x^2-3x+28?? @dayakar

OpenStudy (anonymous):

Also are they put in the correct way? f(x) = 3x - 7 g(x) = x^2 + 3x - 4 1.Find (f + g)(x). (3x-7)+(x^2+3x-4) 2. Find (f - g)(x). (3x-7)-(x^2+3x-4) 3. Find (f · g)(x). (3x-7)*(x^2+3x-4) 4. Find (f/g)(x). (3x-7)/(x^2+3x-4) 5. Find (g/f)(x). (x^2+3x-4)/(3x-7) 6. Find (f ◦ g)(x). 3[x^2+3x-4]-7 7. Find (g ◦ f)(x). [3x-7]^2+3[3x-7]4 ???? i feel like #7 is written wrong? @dayakar @misty1212

OpenStudy (dayakar):

!)(f+g)(x)=f(x)+g(x)

OpenStudy (dayakar):

\[=3x-7+x^{2}+3x-4\]

OpenStudy (anonymous):

@dayakar I know how to set them up for the most part, but figuring oh I solve them is beyond confusing me :/

OpenStudy (anonymous):

okay so i set up #1 right.

OpenStudy (dayakar):

2)same way u do sutraction,can u do it

OpenStudy (anonymous):

3x-7-x^2+3x-4 ?

OpenStudy (dayakar):

no

OpenStudy (anonymous):

wait.. what? :/

OpenStudy (dayakar):

\[3x-7-x^{2}-3x+4\]

OpenStudy (anonymous):

why +4?

OpenStudy (dayakar):

multiply with - sign inside the bracket signs

OpenStudy (dayakar):

get it

OpenStudy (dayakar):

what happens are u following

OpenStudy (anonymous):

@dayakar yes sorry i have a baby so it might take me a minute to respond....

OpenStudy (dayakar):

ok,take ur own time

OpenStudy (anonymous):

@dayakar Okay an yes i get it now

OpenStudy (dayakar):

3)

OpenStudy (anonymous):

3x-7*x^2+3x-4 ?

OpenStudy (dayakar):

\[(3x-7)(x^{2}+3x+4)=3x(x^{2}+3x+4)-7(x^{2}+3x+4)\]

OpenStudy (dayakar):

sorry ,i typed +4 instead of -4 change it

OpenStudy (dayakar):

r u following

OpenStudy (anonymous):

yes :)

OpenStudy (dayakar):

can u simplify it

OpenStudy (anonymous):

uhh.. i can try... :/ i'm not good at that lol

OpenStudy (dayakar):

plz, try u can

OpenStudy (anonymous):

ok give me a moment!

OpenStudy (anonymous):

ok so for 3x(x^2+3x-4) i got 4x^3+9x-12 then for -7(x^2+3x-4) i got -7x^2-21x-28 lol.. >.<

OpenStudy (dayakar):

\[3x^{3}+9x^{2}-12x-7x^{2}-21x+28\]

OpenStudy (dayakar):

compare where u did wrong

OpenStudy (anonymous):

okay i added a number to the 3x^3, i didn't add the exponent to the 9, and i didn't add the x to 12. and i didn't +28 i -28.

OpenStudy (dayakar):

it is not adding , it is multiplying

OpenStudy (dayakar):

can u simplify

OpenStudy (anonymous):

yeah i know i thought thats what i was supposed to do :/

OpenStudy (anonymous):

yeah let me try

OpenStudy (anonymous):

i got 3x^3-16x^2-9x+28?

OpenStudy (anonymous):

but you said earlier it was 5x^2-3x+28 so what did i do wrong?

OpenStudy (dayakar):

\[3x^{3}+2x^{2}-33x+28\]

OpenStudy (anonymous):

wait how??

OpenStudy (dayakar):

that was a mistake

OpenStudy (anonymous):

so my final answer is 3x^3+2x^2-33x+28?

OpenStudy (dayakar):

yes

OpenStudy (anonymous):

ok take it one step at a time ok

OpenStudy (anonymous):

@dayakar @samthamathguy okay so how would i do 4 and 5?

OpenStudy (dayakar):

4)

OpenStudy (dayakar):

factorise the denominator first

OpenStudy (anonymous):

ok so if you think x is a number - or divideing by another number

OpenStudy (dayakar):

\[x^{2}+3x-4\]

OpenStudy (anonymous):

so what do you think the x means

OpenStudy (anonymous):

i think i know

OpenStudy (anonymous):

@dayakar @samthamathguy give me one sec to reply :)

OpenStudy (dayakar):

\[x^{2}-x+4x-4\] spliting the middle term

OpenStudy (anonymous):

ok so what i think it is is something plus 4 to get 7

OpenStudy (anonymous):

so its probaly 1 and 1 half

OpenStudy (anonymous):

are we on 4 ? lol

OpenStudy (anonymous):

yay

OpenStudy (anonymous):

so am i right on x = 1 and 1/2

OpenStudy (dayakar):

|dw:1445094816771:dw|

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