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Is that \[f(x) = x^2 + x + 2; g(x) = 2x^2 + 5\]
So you have to put g(x) in for f(x)
So that will be \[(2x^2 + 5)^2 + (2x^2 + 5) + 2 \]
Because you will be inputting every g(x) value into every x in the f(x) field.
so now do I combine like terms or?
So \[(4x^4 + 25) + (2x^2 + 5) + 2\]
Yes, you can combine like terms now
why did the 2 stay?
The 2 stayed because we were plugging in g(x) terms in for f(x)
So your final answer should look like \[4x^4 + 2x^2 +32\]
Because the "2" didn't have a variable next to it, we didn't have to mess with it.
ohh I see... thank you so much
Does that Help?
yes..but im very bad at it though
I feel yah man, I need help in Pre-Calc because there are some parts in Pre-Calc that I go str8 to OS for. Even though I'm taking Pre-Calc online, I'm getting 90% of my answers from OS.
I feel you..wish I could help you too. I am taking algebra online but try this website.. mathway.com
@chrisdbest \[(2x^2+5)^2 \neq 4x^4+25\] you have to foil that \[(2x^2+5)^2 = (2x^2+5)(2x^2+5)\]
So \[4x^4 + 10x^2 + 25 ?\] That's what you meant?
Did you get the right answer @ sharlin?
+20x² in the middle
Lols thats what I meant to pput. I'm dyslecix
* put; * dyslexic
im not sure because its not multiple choice
@peachpi was just talking about how (a+b)^2=a^2+2ab+b^2 instead of a^2+b^2 so changes will need to be made to your previous answer @sharlin
what would the final answer be?
\[4x^4 +20x^2 +25\]
Im stil confused on how you got there
He made the substitution and got \[f(g(x))=(2x^2+5)^2+(2x^2+5)+2\] which is the same as \[f(g(x))=(2x^2+5)(2x^2+5)+(2x^2+5)+2\] He multiplied and then combined like terms
Peachpi got this. I feel like he can explain it to you better than I can.
with me so far?
ok. now multiply (2x² +5)(2x² + 5) either using foil or the rule @freckles put up
so I got 4x^2+10x^2+10x^2+25
Should be 4x^4. so that was just the first part of the equation. You need to combine it with the rest and combine like terms 4x^4+10x^2+10x^2+25 + 2x^2+ 5 +2
I get a crazy answer
Yo @peachpi Ima give you dat gold medal cuz I think you deserve it, cuz I don't got a lot of time to answer everyone's questions.
@sharlin what did you get?
really..im really not sure
yep. trust your work