SOLUTION: Given that g(x)=3x^2-2x+1, find each of the following: g(0) g(3) g(1-t) g(-1) g(-x) I haven't been in Algebra in 13 years. The teacher suggested that I go back to basic,

Algebra ->  Functions -> SOLUTION: Given that g(x)=3x^2-2x+1, find each of the following: g(0) g(3) g(1-t) g(-1) g(-x) I haven't been in Algebra in 13 years. The teacher suggested that I go back to basic,      Log On


   

Question 24562: Given that g(x)=3x^2-2x+1, find each of the following:
g(0)
g(3)
g(1-t)
g(-1)
g(-x)
I haven't been in Algebra in 13 years. The teacher suggested that I go back to basic, but I am determined to pass this class. I appreciate any help you can provide.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If you are given: g%28x%29+=+3x%5E2-2x%2B1 and are asked to find g(0), you simply replace every x in the original function with 0, thus:
g%280%29+=+3%280%29%5E2+-+2%280%29+%2B+1 Simplify.
g%280%29+=+1 ...it's just that easy.
g%283%29+=+3%283%29%5E2-2%283%29%2B1
g%283%29+=+3%289%29-6%2B1
g%283%29+=+27-6%2B1
g%283%29+=+22 One more
g%281-t%29+=+3%281-t%29%5E2+-+2%281-t%29+%2B+1
g%281-t%29+=+3%281-2t%2Bt%5E2%29+-+2%2B2t+%2B+1 Simplify.
g%281-t%29+=+3t%5E2-6t%2B3-2%2B2t%2B1
g%281-t%29+=+3t%5E2-4t%2B2