anonymous
  • anonymous
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below: f(x) = 3x2 + 2 g(x) = x − 8 −42 −84 42 84
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
@iGreen
misty1212
  • misty1212
HI!!
anonymous
  • anonymous
hi :D

Looking for something else?

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

More answers

misty1212
  • misty1212
\[f(x)=3x^2+2\] right?
anonymous
  • anonymous
Yeah
misty1212
  • misty1212
ok then ' \[f(2)=3\times 2^2+2\] what is that number?
anonymous
  • anonymous
I got 68
misty1212
  • misty1212
think you did the "order 'o operations" wrong square first, then multiply
anonymous
  • anonymous
How do I square?
iGreen
  • iGreen
\(\sf 2^2 \rightarrow 2 \times 2\)
misty1212
  • misty1212
how do you square a number? multiply it by itself so \[2^2=2\times 2\]
anonymous
  • anonymous
so it'd be f(2)=3×2x2+2?
misty1212
  • misty1212
yes what is \[ 3\times 2\times 2+2\]?
anonymous
  • anonymous
14
misty1212
  • misty1212
right now hold on to that number
anonymous
  • anonymous
Alright
misty1212
  • misty1212
\[g(x)=x-8\] what is \[g(2)\]?
anonymous
  • anonymous
g(2) = x - 8?
misty1212
  • misty1212
hmmm i see you are a bit confused as to how to evaluate a function
anonymous
  • anonymous
Very :/
misty1212
  • misty1212
\[g(x)=x-8\\ g(\spadesuit)=\spadesuit-8\\ g(\xi)=\xi -8\]
misty1212
  • misty1212
so how do you find \(g(2)\)? where you see an \(x\) replace it by a \(2\)
anonymous
  • anonymous
g(2) = 2 - 8? The other two functions have clovers and & signs in them, not sure if it's meant to be there.
misty1212
  • misty1212
yeah\[g(2)=2-8\]
anonymous
  • anonymous
So what's the next step?
misty1212
  • misty1212
find \[2-8\]
anonymous
  • anonymous
-6, if i'm solving from left to right
anonymous
  • anonymous
g(2) = -6?
misty1212
  • misty1212
yes it is \(-6\) no matter what you do
misty1212
  • misty1212
final step \[f\times g(2)=f(2)\times g(2)=14\times (-6)\]
anonymous
  • anonymous
so the final answer woulds be -84?
misty1212
  • misty1212
yes
anonymous
  • anonymous
Thanks :)) Could you help me with a few more?
misty1212
  • misty1212
lol sure we can at least do one more
anonymous
  • anonymous
Sweet :)
anonymous
  • anonymous
Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied? c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg
anonymous
  • anonymous
This seems like an easy one, it's just the trouble of setting up the function I guess
misty1212
  • misty1212
it is easy it is the last one
anonymous
  • anonymous
How did you get that?
misty1212
  • misty1212
lets do it with an item that cost $100
misty1212
  • misty1212
first take the 20% discount, multiply \[100\times .8=80\]
misty1212
  • misty1212
so it is $80 before the tax then put in the tax get \[80\times 1.12=89.6\]
misty1212
  • misty1212
what did we do? first multiply by \(.8\) then multiply by \(1.12\)
misty1212
  • misty1212
ohh hold the phone for a second
misty1212
  • misty1212
i see what they want you to say, they want you to pick B
anonymous
  • anonymous
Oooh so it's B?
misty1212
  • misty1212
first do \(p\) then do \(c\) it is \[c(p(g))\]
misty1212
  • misty1212
which is kind of silly since you can do it just by multiplying, but whatever pick B
anonymous
  • anonymous
Alright that's what I was thinking too haha, thank you. Couple more :D?
anonymous
  • anonymous
Or would you rather me open a new question to give you another best response?

Looking for something else?

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