SOLUTION: find the f(-1) for the following equation f(x)=-2x3+4x2-6x+9 the 3 and the 2 are powers of 3 and 2

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Question 117267: find the f(-1) for the following equation
f(x)=-2x3+4x2-6x+9
the 3 and the 2 are powers of 3 and 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=-2x%5E3%2B4x%5E2-6x%2B9 Start with the given function.


f%28-1%29=-2%28-1%29%5E3%2B4%28-1%29%5E2-6%28-1%29%2B9 Plug in x=-1. In other words, replace each x with -1.


f%28-1%29=-2%28-1%29%2B4%28-1%29%5E2-6%28-1%29%2B9 Evaluate %28-1%29%5E3 to get -1.


f%28-1%29=-2%28-1%29%2B4%281%29-6%28-1%29%2B9 Evaluate %28-1%29%5E2 to get 1.


f%28-1%29=%2B2%2B4%281%29-6%28-1%29%2B9 Multiply -2 and -1 to get 2


f%28-1%29=%2B2%2B4-6%28-1%29%2B9 Multiply 4 and 1 to get 4


f%28-1%29=%2B2%2B4%2B6%2B9 Multiply -6 and -1 to get 6


f%28-1%29=21 Now combine like terms