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Mathematics 9 Online
OpenStudy (anonymous):

what am i doing wrong here?

OpenStudy (anonymous):

f(x)=3x^2+1 find f(x+3)-[f(x)+3]

OpenStudy (anonymous):

i had...

OpenStudy (anonymous):

\[3(x^2+2x+3)+1\]

OpenStudy (anonymous):

\[3x^2+6x+10\]

OpenStudy (anonymous):

\[(3x^2+1)+3\]

OpenStudy (anonymous):

\[3x^2+4\]

OpenStudy (anonymous):

\[(3x^2+6x+10)-(3x^2+4)\]

OpenStudy (anonymous):

\[6x+6\]

OpenStudy (anonymous):

is this correct?

OpenStudy (jdoe0001):

\(\bf \large 3(x^2+2x+3\color{red}{^2})+1\)

OpenStudy (anonymous):

oh okay i see

OpenStudy (anonymous):

\[3x^2+6x+10\]

OpenStudy (jdoe0001):

oohh ... one sec

OpenStudy (jdoe0001):

I missed something

OpenStudy (anonymous):

correct for the first 0ne

OpenStudy (anonymous):

ok

OpenStudy (jdoe0001):

\(\bf \large {f(x)=3x^2+1\\ f(x+3) = 3(x+3)^2+1 \implies 3(x^2+2(x)(3)+3^2)+1}\)

OpenStudy (anonymous):

\[3x^2+43+3x\]

OpenStudy (jdoe0001):

hmmm, is that for the whole subtraction?

OpenStudy (anonymous):

no just for the first

OpenStudy (anonymous):

is that the same thing you get?

OpenStudy (anonymous):

for the subtractioni got

OpenStudy (anonymous):

\[3x+39\]

OpenStudy (anonymous):

oh waht...

OpenStudy (jdoe0001):

\(\bf f(x)=3x^2+1\\ f(x+3) = 3(x+3)^2+1 \implies 3(x^2+2(x)(3)+3^2)+1\\ 3(x^2+2\times x\times 3+3^2)+1 \implies 3(x^2+6x+9)+1\\ \implies 3x^2+18x+27+1\)

OpenStudy (anonymous):

\[3x^2+18x+28\]

OpenStudy (jdoe0001):

yes

OpenStudy (anonymous):

\[18x+24\]

OpenStudy (jdoe0001):

yeap

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

thanks a lot

OpenStudy (jdoe0001):

yw

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