- MeowLover17

Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below:
f(x) = 8x − 13
g(x) = x − 9

- jamiebookeater

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- MeowLover17

A.23
B.27
C.31
D.40

- MeowLover17

Please help

- anonymous

add 8x - 13 + x - 9 then solve for x
by substituting 5

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## More answers

- anonymous

8(5) - 13 + (5) - 9

- MeowLover17

Thank you

- anonymous

np x

- MeowLover17

So 23

- anonymous

yes!!

- MeowLover17

Could you help me with one more?

- anonymous

sure

- MeowLover17

Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet with the discount and taxes applied based on its original price?

- MeowLover17

c[p(t)] = 0.918t
c(p) + p(t) = 1.93t
c(p) ⋅ p(t) = 0.918pt
t[c(p)] = 1.93p

- MeowLover17

I dont understand this at all.

- anonymous

yeah i'm not sure

- MeowLover17

Another one?

- anonymous

nengeni you know?

- MeowLover17

Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
f(x) = 6x + 12
g(x) = x − 8

- MeowLover17

- MeowLover17

−96
0
24
48

- anonymous

okay this is super easy you got this
since (g(6)) is in parentheses, you solve that first
plug in 6 for x in the function g(x)
g(x) = 6 - 8

- MeowLover17

Okay

- anonymous

the answer you get from that is what you plug into the function f(x) as x

- MeowLover17

So i plug in -2 for X?

- MeowLover17

So my answer is 0 :D

- anonymous

yes, f(x) = 6(-2) + 12

- anonymous

yep! B

- MeowLover17

Thank you so much can you help me with a few more like that?

- anonymous

sure post them

- MeowLover17

Alright awesome
Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:
f(x) = 4x2 + 12
g(x) = x − 1

- MeowLover17

47
−47
96
−96

- anonymous

is it \[4x^2 + 12\]

- MeowLover17

Yes

- anonymous

aight. expanded out, this would be written as (4(3)^2 + 12)*(3 - 1)

- MeowLover17

So do i solve for that expanded form?2

- anonymous

start with 4(3)^2 + 12

- anonymous

follow order of operations, once you get an answer, multiply it by (3-1)

- MeowLover17

156?

- MeowLover17

312 0-0

- anonymous

NO, NO

- MeowLover17

Oh wait sorry XD

- MeowLover17

i did 4*3^2

- anonymous

order of operations : parentheses, exponents, multiplication

- anonymous

yes so square 3 and then multiply

- MeowLover17

96

- anonymous

yes

- MeowLover17

Thats my answer o-o

- anonymous

yes

- MeowLover17

Awesome another one if thats fine by you

- anonymous

yep

- MeowLover17

Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.

- MeowLover17

k[p(x)] = 5x − 12
k[p(x)] = 5x − 28
k[p(x)] = 5x2 − 12
k[p(x)] = 5x2 − 28

- MeowLover17

its 5x^2

- anonymous

what k[p(x)] means is: substitute the function p(x) as x in the function k(x)

- MeowLover17

0k

- MeowLover17

I dont understand o-o

- anonymous

5(x - 4) - 8
you see how the function p(x) acts as x in the function k(x)?

- anonymous

distribute first and then solve

- MeowLover17

ok

- MeowLover17

5x-28

- anonymous

correct

- MeowLover17

Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
f(x) = 2x − 20
g(x) = x − 1

- MeowLover17

−5
5
one sixth
30

- MeowLover17

one sixth = 1/6

- MeowLover17

- anonymous

5

- MeowLover17

Thank you :)

- anonymous

i actually have to leave but if you have anymore questions open up a new thread and i'm sure you'll get answers

- MeowLover17

alright thanks :) have a great rest of your day

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