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Mathematics 9 Online
OpenStudy (anonymous):

Let f(x)=2x+3, k(x)=x^2+2x-3 Find (f o k)(x)=?

OpenStudy (anonymous):

@ranga

OpenStudy (primeralph):

Anywhere you see x in k(x), put 2x+3.

OpenStudy (anonymous):

So like 2x+3^2+2(2x+3)-3 6x+12 ?

OpenStudy (primeralph):

Almost there. You made a mistake by not squaring (2x+3). You squared only 3.

OpenStudy (anonymous):

I just need to add the ()? right? 4x^2+16x+12?

OpenStudy (primeralph):

Yeah, that's all.

OpenStudy (primeralph):

Wait stop.

OpenStudy (anonymous):

uh oh

OpenStudy (primeralph):

I read the question wrong; you're meant to put x^2+2x-3 anywhere you see x in f(x). So it's just the reverse. If you were asked to find (k o f)(x). then you'd do what I showed earlier.

OpenStudy (primeralph):

Do you understand?

OpenStudy (anonymous):

2x^2+4x-3?

OpenStudy (primeralph):

Yeah, good job.

OpenStudy (anonymous):

Thanks!!!!

OpenStudy (primeralph):

You're easy to teach. Keep it up.

OpenStudy (anonymous):

Thank you so much for your help!

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