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anonymous
 one year ago
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work. I put them together for (2x2+5)2+( 2x2+5)+2. Now I'm stuck.
anonymous
 one year ago
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work. I put them together for (2x2+5)2+( 2x2+5)+2. Now I'm stuck.

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FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1I think you just simplify now, remember for \[(a + b)^2 = a^2 + 2ab + b^2\]

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1so try and simplify and post up what you get

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm still confused. the exponents are what I don't understand. Do I add the terms together or...

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yup you want to add like terms together. have you tried expanding \[(2x^2 + 5)^2\]?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1because it best if you have a go and I can then check and direct you

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Yup you can expand/open them using the rule I'd shown you above

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1then we can collect like terms to simplify

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh! Ok. Got it. Hold on a moment.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got \[2x ^{4}+5^{2}+2x ^{2}+7\] Is that all I can do? Or can it be simplified more?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1hm your answer doesn't quite match mine, what did you get when you expanded \[(2x^2 + 5)^2\]?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.05squared should be 25.

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1not quite, so we have \[(2x^2 + 5)^2\] and using \[(a + b)^2 = a^2 + 2bc + b^2\] we should get \[(2x^2)^2 + 2(2x^2)(5) + 5^2\] which simplifies down to \[4x^4 + 20x^2 + 25\] when we expand

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is That all we can do?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1no, we'e simplified the \[(2x^2 + 5)^2\] part, but don't forget, our task is to simplify \[(2x^2 + 5) + (2x^2 + 5) + 2\] so now we have \[4x^4 + 20x^2 + 25 + (2x^2 + 5) + 2\] so now you gotta collect like terms, try this and show me what you get @Whitelynx

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1sorry correction from above**** "Our task is to simplify \[(2x^2 + 5)^2 + (2x + 5) + 2\]"****

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[4x ^{4}+22x ^{2}+32\] Is this right?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yupp thats correct @whitelynx! :D
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