MeowLover17
  • 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
Mathematics
jamiebookeater
  • jamiebookeater
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MeowLover17
  • MeowLover17
A.23 B.27 C.31 D.40
MeowLover17
  • MeowLover17
Please help
anonymous
  • anonymous
add 8x - 13 + x - 9 then solve for x by substituting 5

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anonymous
  • anonymous
8(5) - 13 + (5) - 9
MeowLover17
  • MeowLover17
Thank you
anonymous
  • anonymous
np x
MeowLover17
  • MeowLover17
So 23
anonymous
  • anonymous
yes!!
MeowLover17
  • MeowLover17
Could you help me with one more?
anonymous
  • anonymous
sure
MeowLover17
  • 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
  • MeowLover17
c[p(t)] = 0.918t c(p) + p(t) = 1.93t c(p) ⋅ p(t) = 0.918pt t[c(p)] = 1.93p
MeowLover17
  • MeowLover17
I dont understand this at all.
anonymous
  • anonymous
yeah i'm not sure
MeowLover17
  • MeowLover17
Another one?
anonymous
  • anonymous
nengeni you know?
MeowLover17
  • 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
MeowLover17
  • MeowLover17
−96 0 24 48
anonymous
  • 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
  • MeowLover17
Okay
anonymous
  • anonymous
the answer you get from that is what you plug into the function f(x) as x
MeowLover17
  • MeowLover17
So i plug in -2 for X?
MeowLover17
  • MeowLover17
So my answer is 0 :D
anonymous
  • anonymous
yes, f(x) = 6(-2) + 12
anonymous
  • anonymous
yep! B
MeowLover17
  • MeowLover17
Thank you so much can you help me with a few more like that?
anonymous
  • anonymous
sure post them
MeowLover17
  • 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
  • MeowLover17
47 −47 96 −96
anonymous
  • anonymous
is it \[4x^2 + 12\]
MeowLover17
  • MeowLover17
Yes
anonymous
  • anonymous
aight. expanded out, this would be written as (4(3)^2 + 12)*(3 - 1)
MeowLover17
  • MeowLover17
So do i solve for that expanded form?2
anonymous
  • anonymous
start with 4(3)^2 + 12
anonymous
  • anonymous
follow order of operations, once you get an answer, multiply it by (3-1)
MeowLover17
  • MeowLover17
156?
MeowLover17
  • MeowLover17
312 0-0
anonymous
  • anonymous
NO, NO
MeowLover17
  • MeowLover17
Oh wait sorry XD
MeowLover17
  • MeowLover17
i did 4*3^2
anonymous
  • anonymous
order of operations : parentheses, exponents, multiplication
anonymous
  • anonymous
yes so square 3 and then multiply
MeowLover17
  • MeowLover17
96
anonymous
  • anonymous
yes
MeowLover17
  • MeowLover17
Thats my answer o-o
anonymous
  • anonymous
yes
MeowLover17
  • MeowLover17
Awesome another one if thats fine by you
anonymous
  • anonymous
yep
MeowLover17
  • MeowLover17
Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.
MeowLover17
  • MeowLover17
k[p(x)] = 5x − 12 k[p(x)] = 5x − 28 k[p(x)] = 5x2 − 12 k[p(x)] = 5x2 − 28
MeowLover17
  • MeowLover17
its 5x^2
anonymous
  • anonymous
what k[p(x)] means is: substitute the function p(x) as x in the function k(x)
MeowLover17
  • MeowLover17
0k
MeowLover17
  • MeowLover17
I dont understand o-o
anonymous
  • anonymous
5(x - 4) - 8 you see how the function p(x) acts as x in the function k(x)?
anonymous
  • anonymous
distribute first and then solve
MeowLover17
  • MeowLover17
ok
MeowLover17
  • MeowLover17
5x-28
anonymous
  • anonymous
correct
MeowLover17
  • 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
  • MeowLover17
−5 5 one sixth 30
MeowLover17
  • MeowLover17
one sixth = 1/6
MeowLover17
  • MeowLover17
anonymous
  • anonymous
5
MeowLover17
  • MeowLover17
Thank you :)
anonymous
  • 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
  • MeowLover17
alright thanks :) have a great rest of your day

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