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Mathematics 9 Online
OpenStudy (anonymous):

given thanks

OpenStudy (igreen):

Is it supposed to be 'evaluate g(-1)'?

OpenStudy (anonymous):

idk im not sure

OpenStudy (anonymous):

hope this help

OpenStudy (igreen):

Yes, it does. This just means to plug in 'a - 1' into the equation for 'x'. \(g(x) = x^2 - x + 3\) \(g(a - 1) = (a - 1)^2 - (a - 1) + 3\) Can you simplify that?

OpenStudy (igreen):

First, can you simplify this? \((a - 1)(a - 1)\)

OpenStudy (anonymous):

a-1

OpenStudy (igreen):

No, we're multiplying them together.. \(a \times a = a^2\) \(a \times -1 = -a\) \(-1 \times a = -a\) \(-1 \times -1 = 1\) We multiply all of these to simplify it. So we have: \(a^2 - a - a + 1\) Combine -a - a: \(a^2 - 2a + 1\) Plug this back into the function: \(g(x) = a^2 - 2a + 1 - a - 1 + 3\) What's 1 - 1? @cutegirl

OpenStudy (anonymous):

0

OpenStudy (igreen):

Yes, and what's 0 + 3?

OpenStudy (anonymous):

3

OpenStudy (igreen):

Yes, so we have: \(g(a - 1) = a^2 - 2a - a + 3\) Can you subtract -2a - a?

OpenStudy (anonymous):

-2?

OpenStudy (igreen):

No, \(-2 - a\) is the same thing as \(-2 - 1\) but we put an 'a' next to it..so what do youget?

OpenStudy (igreen):

*you get?

OpenStudy (anonymous):

2a^2?

OpenStudy (igreen):

No, what's -2 - 1?

OpenStudy (anonymous):

-3

OpenStudy (igreen):

Yes, so \(-2 - a\) is \(-3a\). So we have: \(g(a - 1) = a^2 - 3a + 3\) That's your answer.

OpenStudy (igreen):

I mean \(a^2 - 3a + 5\)..lol.

OpenStudy (anonymous):

thanks lol

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