Join the QuestionCove community and study together with friends!
Sign Up
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?
\((a - 1)(a - 1)\)
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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.