SOLUTION: f (x)=x²-5x+6 x= -2; x= -3

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Question 111988: f (x)=x²-5x+6 x= -2; x= -3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2-5x%2B6 Start with the given function.


f%28-2%29=%28-2%29%5E2-5%28-2%29%2B6 Plug in x=-2. In other words, replace each x with -2.


f%28-2%29=%284%29-5%28-2%29%2B6 Evaluate %28-2%29%5E2 to get 4.


f%28-2%29=%284%29%2B10%2B6 Multiply -5 and -2 to get 10


f%28-2%29=20 Now combine like terms


-----------Now let's evaluate another value---------


f%28x%29=x%5E2-5x%2B6 Start with the given function.


f%28-3%29=%28-3%29%5E2-5%28-3%29%2B6 Plug in x=-3. In other words, replace each x with -3.


f%28-3%29=%289%29-5%28-3%29%2B6 Evaluate %28-3%29%5E2 to get 9.


f%28-3%29=%289%29%2B15%2B6 Multiply -5 and -3 to get 15


f%28-3%29=30 Now combine like terms