Given \(f(x)=x^2-6x+8\) and \(g(x)=x-2\) , solve \(f(x)=g(x)\) using a table of values. Show your work.

Please help me with this asap

THANK YOU! I really appreciate it!

KennedyPape Mar 21, 2019

#1**+1 **

\(f(x)=g(x) \)

\(f(x)=x^2-6x+8\\ g(x)=x-2\)

There will most likely be 2 answers becasue the power is 2

Fill in the grid

When you find 2 answer with f(x)=g(x) then those values of x are the only solutions.

x | -6 | -5 | -4 | -2 | -1 | 0 | 1 | 2 | 3 |

f(x) | |||||||||

g(x) | |||||||||

f(x)=g(x) ? |

**Please no one answer over me**

Melody Mar 21, 2019

#2**0 **

Hi,

Im the creator of this question and wanted to solve it for anyone who needs help with a similar question because I didn't really understand Melody's answer. This was on of my practice questions on my study guide and found out later that my teacher said we didn't need to use a table of values so I solved it with my sister's help. :)

So it's a lot like algerbra except a lot more annoying in my opinion because i struggle with factoring. So you start by setting everything etting everything to zero.

\(x^2-6x+8=x-2 \)

Subtract x and ad 2 to both sides to set the equation equal to 0

\(x^2-7x+10=0\)

Factor

\((x-5)(x-2)=0\)

\(x-5=0\)

\(x-2=0\)

\(x = 5, 2\)

Really hope this helps anybody struggling with this. Can't 100% confirm this is right because this is my own work BUT this is how I got my answer for this question.

KennedyPape
Mar 22, 2019

#5**-1 **

Melody,

I specifically said in my answer that I ended up not having to use a table to solve the equation. I also stated that your answer didn't help me to understand in finding the answer, I understand and agree with not giving users the answer but I was very confused on how to solve f(x)=g(x) and would have made a lot more sense if you had shown how to solve the X or variable in for the first column. I only understood what you were trying to do until I got help understanding everything by my sister and father. And I don't find downvoting your answer as rude because I didn't find your answer super helpful, and for the fact that you said "Please no one answer over me" when this is a website where anyone is free to answer and if someone doesn't understand the answer given then another can give a better response. I'm sorry for not editing my question right away, but by that time I had already gotten help so I didn't ask for more clarification. I primarily downvoted because other users and myself shouldn't need to ask for a lot of clarification especially when the question locks and sometimes a user can't, and I answered myself for other users who would have a similar question. I hope you can see where I'm coming from and I don't mean to offend you but isn't this what the positive and negative like buttons are for? I really do love this site because it's very reliable and quick, I appreciate all the top users, including yourself, that answer and help me to really understand and learn math. I hope you have a great day and I really do appreciate all that you do. Thank you for taking the time to answer my question and I sincerely hope you can see this situation from my point of view.

-K

KennedyPape Mar 26, 2019