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Mathematics 15 Online
OpenStudy (anonymous):

Let f(x)=7x2−4x+8 and g(x)=−6+4x−7x2. What is f(x)+g(x) ?

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

put a plus sign between them, then combine like terms

OpenStudy (anonymous):

Hi hah. SOrry, I'm not well in math...

OpenStudy (misty1212):

\[7x^2-4x+8-6+4x-7x^2\]

OpenStudy (misty1212):

then \(7x^2-7x^2=0\) right?

OpenStudy (anonymous):

ooh.. i see now the your left with those to work with right?

OpenStudy (misty1212):

yes

OpenStudy (misty1212):

all the terms with \(x\)'s in them go bye bye (add up to zero) and you are only left with \(8-6\) which you can compute even if you are not well in math

OpenStudy (anonymous):

so. they are asking for one number??

OpenStudy (misty1212):

it turns out in this case you do only get one number for \(f(x)+g(x)\)

OpenStudy (anonymous):

... i'm lost now.. so ... ughhh!

OpenStudy (misty1212):

lol what is \(8-6\)?

OpenStudy (anonymous):

2

OpenStudy (misty1212):

\[7x^2-4x+8-6+4x-7x^2\] \[7x^2-7x^2-4x+4x+8-6\] \[\overbrace{7x^2-7x^2}^{\text{adds to zero}}\overbrace{-4x+4x}^{\text{adds to zero}}\overbrace{+8-6}^{\text{adds to 2}}\]

OpenStudy (misty1212):

so 2 is the final answer

OpenStudy (anonymous):

so i just put 2? nothing else?

OpenStudy (misty1212):

yes because in this case the other two terms add up to zero that only leaves the 2

OpenStudy (misty1212):

it is not usually like that, just happens to be here

OpenStudy (anonymous):

thank you. >.<

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

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