anonymous
  • anonymous
Let f(x) = 3x2 – x + 2 and g(x) = 5x2 – 1. Find f(g(x)).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@johnweldon1993
anonymous
  • anonymous
Will medal AND fan <3
Nnesha
  • Nnesha
bec you have to substitute x for x you will get same equation so just substitute g(x) equation into f(x)

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More answers

anonymous
  • anonymous
I'm confused
Astrophysics
  • Astrophysics
\[f(g(x)) = 3(5x^2-1)-(5x^2-1)+2\] notice we take the function g(x) and plug it everywhere there is an x in f(x) which means f(g(x)).
Astrophysics
  • Astrophysics
\[f(g(x)) = 3(5x^2-1)^2-(5x^2-1)+2\] this is the proper one
anonymous
  • anonymous
Ok. I see
Astrophysics
  • Astrophysics
Now you may simplify it :)
anonymous
  • anonymous
Can you wait until I finish so you can check my answer? :)
anonymous
  • anonymous
15x^2-3-5x^2+7 yes?
Astrophysics
  • Astrophysics
Mhm, not quite, notice it's \[3(5x^2-1) \huge ^{2}\]
anonymous
  • anonymous
Ok. I don't understand
Astrophysics
  • Astrophysics
\[(5x^2-1)^2 \implies (5x^2-1)(5x^2-1)\]
anonymous
  • anonymous
Ohh! Okay
Astrophysics
  • Astrophysics
Yup :)
anonymous
  • anonymous
25x^4-10x^2+1
Astrophysics
  • Astrophysics
Awesome, now lets multiply it by 3 \[3(25x^4-10x^2+1)\]
anonymous
  • anonymous
75x^4-30x^2+3
Astrophysics
  • Astrophysics
That's great :D, now we have \[75x^4-30x^2+3 -(5x^2-1)+2\]
Astrophysics
  • Astrophysics
Now simplify it a bit more
anonymous
  • anonymous
75x^4-30x^2-5x^2+3
Astrophysics
  • Astrophysics
Good one more step though, look for like terms
anonymous
  • anonymous
75x^4-35x^2+3
Astrophysics
  • Astrophysics
Yup, nice work!!
anonymous
  • anonymous
Is that it?
Astrophysics
  • Astrophysics
Yup, we're done :)
anonymous
  • anonymous
Can I ask one more please? :)
Astrophysics
  • Astrophysics
\[f(g(x)) = 75x^4-35x^2+3\]
Astrophysics
  • Astrophysics
Unless you want solutions to it as well, but I doubt it, since it's gross...and sure :)
anonymous
  • anonymous
Lol okay thanks :)
Astrophysics
  • Astrophysics
And we are solving for x? :)
anonymous
  • anonymous
Solve the equation for the variable. Show each step of your solution process.
Astrophysics
  • Astrophysics
Sounds fun, any idea how to start
anonymous
  • anonymous
And yes :) You know, the usual
Astrophysics
  • Astrophysics
See if you can do anything with the 4
anonymous
  • anonymous
subtract it from 5?
Astrophysics
  • Astrophysics
Yup
Astrophysics
  • Astrophysics
|dw:1434493963942:dw| so far so good right
Astrophysics
  • Astrophysics
Now do you know how to deal with the square root
anonymous
  • anonymous
square both sides?
Astrophysics
  • Astrophysics
Yes! And I'll show you why exactly we do that, so it makes sense...so when we have squareroot anything it means this \[\huge \sqrt{x} \implies x^{1/2}\] and notice if we square it we get 2/2 hence x^1 :), so squaring both sides would be the proper thing to do!
anonymous
  • anonymous
Yay :)
Astrophysics
  • Astrophysics
Alright so we should have what now?
anonymous
  • anonymous
Add 3 to both sides?
Astrophysics
  • Astrophysics
|dw:1434494236543:dw|
anonymous
  • anonymous
So, subtract 3 I meant
Astrophysics
  • Astrophysics
Yes :), and our answer will be? :D
anonymous
  • anonymous
x=-2
Astrophysics
  • Astrophysics
Yes!! |dw:1434494432642:dw|
anonymous
  • anonymous
HAHAHA :D Yesssss
anonymous
  • anonymous
Ok last one, and I'm done. Pleaseeee
Astrophysics
  • Astrophysics
Lol ok ok
anonymous
  • anonymous
Given the expression 5a2b – 13ab + 7a3 – 4b, do the following as instructed below: Write the polynomial in descending order. Classify the polynomial by the number of terms. State the degree of the polynomial.
anonymous
  • anonymous
Thank you friend!! *Huge internet hug*
Astrophysics
  • Astrophysics
Ok lets do it step by step, descending order just means greatest to least (look at the a's). So go ahead and do that now :)
anonymous
  • anonymous
Isn't it greatest to least?
Astrophysics
  • Astrophysics
Yes, I made a mistake xD
Astrophysics
  • Astrophysics
Tried to fix it before you saw haha, but nice catch!
Astrophysics
  • Astrophysics
Good! Now lets state the terms, and figure out what kind it is!
anonymous
  • anonymous
polynomial?
Astrophysics
  • Astrophysics
Yes, but I think they might want you to say quadrinomial (meaning 4)
anonymous
  • anonymous
oh okay :)
anonymous
  • anonymous
what about the degree?
Astrophysics
  • Astrophysics
degree is the highest number of the variables, so we have to sum up the variables for the highest degree, can you figure out which one? :)
anonymous
  • anonymous
3
Astrophysics
  • Astrophysics
Yup, and that's it!
anonymous
  • anonymous
:( Thank you so much for all your help! You were probably the nicest tutor on here I've met so far!!!
Astrophysics
  • Astrophysics
Haha, thanks and your welcome :)

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