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