SOLUTION: Evaluate. {{{f(x)= x^2-x+1}}} a.] f(2) b.] f(1/2) c.] f(-1) d.] f(a+2)

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Question 152344: Evaluate.
f%28x%29=+x%5E2-x%2B1
a.] f(2)
b.] f(1/2)
c.] f(-1)
d.] f(a+2)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you going in the right direction

a)

f%28x%29=x%5E2-x%2B1 Start with the given function.


f%282%29=%282%29%5E2-2%2B1 Plug in x=2.


f%282%29=4-2%2B1 Square 2 to get 4.


f%282%29=3 Combine like terms.




b)

f%28x%29=x%5E2-x%2B1 Start with the given equation.


f%281%2F2%29=%281%2F2%29%5E2-1%2F2%2B1 Plug in x=1%2F2.


f%281%2F2%29=1%2F4-1%2F2%2B1 Square 1%2F2 to get 1%2F4.


f%281%2F2%29=1%2F4-2%2F4%2B1 Multiply 1%2F2 by 2%2F2


f%281%2F2%29=1%2F4-2%2F4%2B4%2F4 Multiply 1 by 4%2F4


f%281%2F2%29=%281-2%2B4%29%2F4 Combine the fractions


f%281%2F2%29=3%2F4 Combine like terms.