anonymous
  • anonymous
please help im so stuck 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DanJS
  • DanJS
f(-5) / g(-5) that right?
anonymous
  • anonymous
-5 is one of the choices but im not sure
anonymous
  • anonymous
could you explain to me how you got that answer?

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More answers

anonymous
  • anonymous
−5 5 one sixth 30 the coices
DanJS
  • DanJS
\[\frac{ f(-5) }{ g(-5) } = \frac{ 2(-5)-20 }{ -5 -1 }\]
DanJS
  • DanJS
right , yeah it is f(-5) / g(-5), just evaluate both and put them over each other
anonymous
  • anonymous
ok thank you can you help with few more just trying out openstudy for the first time my friends said it helps
DanJS
  • DanJS
yes, depends on who helps ya.. .. just ask a new thread
anonymous
  • anonymous
you mean like post the question by itself?
DanJS
  • DanJS
screw it, here is fine
anonymous
  • anonymous
ok 1 sec
anonymous
  • anonymous
given the functions f(x)and g(x), solve (f times g)(3) and select the correct answer below f(x)4x^2+12 g(x)=x-1
DanJS
  • DanJS
f times g, or is it a small circle looking thing
anonymous
  • anonymous
47 -47 96 -96 are choices
anonymous
  • anonymous
its a small cirlce
DanJS
  • DanJS
ok, then it is a compound function f[g(x)]
anonymous
  • anonymous
so how would i set up the equation
DanJS
  • DanJS
nope, it is gonna be multiplication
DanJS
  • DanJS
f(3) * g(3) =
anonymous
  • anonymous
so i would multiply the 2 equation they gave me?
anonymous
  • anonymous
so (4x^2+12)3 and (x-1)3?
DanJS
  • DanJS
you could do that first, or put in the value for x to start, [4(3^2) + 12] * (3-1)
anonymous
  • anonymous
hows did you get the value of x
DanJS
  • DanJS
THe problem says [f times g ](3) , x=3
DanJS
  • DanJS
so you just evaluate both f and g at x=3 , then multiply the values together
anonymous
  • anonymous
ooo ok
anonymous
  • anonymous
let me try it
DanJS
  • DanJS
I have time for one more if you want
DanJS
  • DanJS
f(3) * g(3) = [4(3^2) + 12] * (3-1) = 96
anonymous
  • anonymous
how did u get 96 i got 168
DanJS
  • DanJS
[4*9 + 12]* 2
DanJS
  • DanJS
48*2
anonymous
  • anonymous
ok and wat a bout the part when you multiply it by 3-1
DanJS
  • DanJS
that is what happened, the 2 at the end... f(3) * g(3) = [4(3^2) + 12] * (3-1) = 96
anonymous
  • anonymous
ook
anonymous
  • anonymous
i get it now i messed up omewhere but i see thay why its a 2 at the end cuz 3-1 is 2 ok can u hepl with one more?
DanJS
  • DanJS
yep
anonymous
  • anonymous
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
anonymous
  • anonymous
choices are −96 0 24 48
DanJS
  • DanJS
These compound functions like that, you work from the inside most function first, then outwards carrying the values...
DanJS
  • DanJS
figure out g(6), then use that value in f(x) for x
anonymous
  • anonymous
so x is 6?
DanJS
  • DanJS
yes, anytime you see g(#) or f(#) some number, that is what x is
anonymous
  • anonymous
k so now i plug it in dont tell me ill tell u n u tell if its right
DanJS
  • DanJS
So what is g(6)
anonymous
  • anonymous
is it -2?
DanJS
  • DanJS
no... First , what is g(6) ?
anonymous
  • anonymous
i did x-8 and plugged 6 for x
DanJS
  • DanJS
right, so g(6) = 6 - 8 = -2
anonymous
  • anonymous
ok so now f
DanJS
  • DanJS
now you use that value you just got in the f function for x
anonymous
  • anonymous
f is 48?
DanJS
  • DanJS
f(-2)
anonymous
  • anonymous
6times 6 plus 12
DanJS
  • DanJS
no, that is the thing with the compound functions, you have to use the value from g(6) = -2 for the value of x in f(x)
DanJS
  • DanJS
Figure the inner function out, use that value in the next function
anonymous
  • anonymous
o ok so i plug the -2 in instead of the 6?
DanJS
  • DanJS
Yes.. f[g(6)] = f(-2)
anonymous
  • anonymous
can you explain how you get that from f(x)=6x+12?
DanJS
  • DanJS
ok, start over from the beginning...
anonymous
  • anonymous
ok
DanJS
  • DanJS
f [ g(6) ] What that means is instead of having the usual f(x), you have f( another function) Start with the inner function g(6) and evaluate. g(6) = -2 Now you can replace g(6) with -2 in the original problem
DanJS
  • DanJS
Left to evaluate f(-2)
anonymous
  • anonymous
oo ok
anonymous
  • anonymous
so where do i go from here?
DanJS
  • DanJS
just left to evaluate f(-2) = 6*(-2) + 12
anonymous
  • anonymous
o ok so now u added the 6(-2)+12 wouldnt it be 0
DanJS
  • DanJS
so it is zero i have to take off, you can fan me , ill prolly be on later
anonymous
  • anonymous
ok how do i fan you?
anonymous
  • anonymous
nvm n did it thanks

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