anonymous
  • anonymous
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Substitute all x of f(x) to 2x^2+5.
anonymous
  • anonymous
|dw:1438121254032:dw|
anonymous
  • anonymous
You there?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Did you understand it or do you need more help?
anonymous
  • anonymous
yea im here
anonymous
  • anonymous
i probably need more help. im having a lot of trouble with this stuff
anonymous
  • anonymous
Okay so can you tell me the function now after you substitute x as g(x)?
anonymous
  • anonymous
Just make all x as 2x^2+5, then combine like terms.
anonymous
  • anonymous
oh okay, is that all?
anonymous
  • anonymous
Yes. Could you press the "draw" button and try to show me the function?
anonymous
  • anonymous
f(x)= (2x^2)^2 + 2x^2 +5 +2
anonymous
  • anonymous
like so?
anonymous
  • anonymous
Is this your function? |dw:1438121804638:dw|
anonymous
  • anonymous
yup
anonymous
  • anonymous
I think you forget something. :) What is g(x) again?
anonymous
  • anonymous
forgot*
anonymous
  • anonymous
oh i see my error. let me try again
anonymous
  • anonymous
Go ahead.
anonymous
  • anonymous
|dw:1438122029529:dw|
anonymous
  • anonymous
i forgot the +5
anonymous
  • anonymous
Yes. :) Now solve it.
anonymous
  • anonymous
Start with this. |dw:1438122119288:dw|
anonymous
  • anonymous
Are you having any difficulty so far?
anonymous
  • anonymous
|dw:1438122304749:dw|
anonymous
  • anonymous
There's something missing. Try the FOIL method.|dw:1438122345260:dw|
anonymous
  • anonymous
is it 4x^4 + 20x^2+25
anonymous
  • anonymous
Great! So the function is now |dw:1438122528248:dw|
anonymous
  • anonymous
Combine like terms.
anonymous
  • anonymous
4x^4 + 14x^2 + 32
anonymous
  • anonymous
There's no subtraction in the function.
anonymous
  • anonymous
|dw:1438122865261:dw|