SOLUTION: If f(x)= -4x^2+12x-9 and g(x)= -9-3x+x^2,find 6f(1/2)-2g(2). Please show me step by step.

Algebra ->  Functions -> SOLUTION: If f(x)= -4x^2+12x-9 and g(x)= -9-3x+x^2,find 6f(1/2)-2g(2). Please show me step by step.      Log On


   

Question 601469: If f(x)= -4x^2+12x-9 and g(x)= -9-3x+x^2,find 6f(1/2)-2g(2). Please show me step by step.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+-4x%5E2%2B12x-9


f%281%2F2%29=+-4%281%2F2%29%5E2%2B12%281%2F2%29-9


f%281%2F2%29=+-4%281%2F4%29%2B12%281%2F2%29-9


f%281%2F2%29=+-4%2F4%2B12%2F2-9


f%281%2F2%29=+-1%2B6-9


f%281%2F2%29=+-4
-------------------------------------------------------

g%28x%29+=+-9-3x%2Bx%5E2


g%282%29+=+-9-3%282%29%2B%282%29%5E2


g%282%29+=+-9-3%282%29%2B4


g%282%29+=+-9-6%2B4


g%282%29+=+-11

-------------------------------------------------------

6%2Af%281%2F2%29+-+2%2Ag%282%29


6%2A%28-4%29+-+2%2A%28-11%29


-24+%2B+22


-2


So 6%2Af%281%2F2%29+-+2%2Ag%282%29=-2