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

- anonymous

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- schrodinger

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- anonymous

@iGreen

- misty1212

HI!!

- anonymous

hi :D

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## More answers

- misty1212

\[f(x)=3x^2+2\] right?

- anonymous

Yeah

- misty1212

ok then '
\[f(2)=3\times 2^2+2\] what is that number?

- anonymous

I got 68

- misty1212

think you did the "order 'o operations" wrong
square first, then multiply

- anonymous

How do I square?

- iGreen

\(\sf 2^2 \rightarrow 2 \times 2\)

- misty1212

how do you square a number? multiply it by itself
so \[2^2=2\times 2\]

- anonymous

so it'd be f(2)=3×2x2+2?

- misty1212

yes what is
\[
3\times 2\times 2+2\]?

- anonymous

14

- misty1212

right
now hold on to that number

- anonymous

Alright

- misty1212

\[g(x)=x-8\] what is
\[g(2)\]?

- anonymous

g(2) = x - 8?

- misty1212

hmmm i see you are a bit confused as to how to evaluate a function

- anonymous

Very :/

- misty1212

\[g(x)=x-8\\
g(\spadesuit)=\spadesuit-8\\
g(\xi)=\xi -8\]

- misty1212

so how do you find \(g(2)\)?
where you see an \(x\) replace it by a \(2\)

- 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

yeah\[g(2)=2-8\]

- anonymous

So what's the next step?

- misty1212

find \[2-8\]

- anonymous

-6, if i'm solving from left to right

- anonymous

g(2) = -6?

- misty1212

yes it is \(-6\) no matter what you do

- misty1212

final step
\[f\times g(2)=f(2)\times g(2)=14\times (-6)\]

- anonymous

so the final answer woulds be -84?

- misty1212

yes

- anonymous

Thanks :))
Could you help me with a few more?

- misty1212

lol sure we can at least do one more

- anonymous

Sweet :)

- 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

This seems like an easy one, it's just the trouble of setting up the function I guess

- misty1212

it is easy
it is the last one

- anonymous

How did you get that?

- misty1212

lets do it with an item that cost $100

- misty1212

first take the 20% discount, multiply
\[100\times .8=80\]

- misty1212

so it is $80 before the tax
then put in the tax get
\[80\times 1.12=89.6\]

- misty1212

what did we do? first multiply by \(.8\) then multiply by \(1.12\)

- misty1212

ohh hold the phone for a second

- misty1212

i see what they want you to say, they want you to pick B

- anonymous

Oooh so it's B?

- misty1212

first do \(p\) then do \(c\) it is \[c(p(g))\]

- misty1212

which is kind of silly since you can do it just by multiplying, but whatever
pick B

- anonymous

Alright that's what I was thinking too haha, thank you. Couple more :D?

- anonymous

Or would you rather me open a new question to give you another best response?

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