Compute (f o g )(x), given the functions below:
f(x) = (3x-4)/(4x-5)
g(x) = 1/4x
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OpenStudy (angela210793):
fog=(3*1/4x -4)*(4*1/4x -5)
so u put g(x) instead of x in the F(x)
OpenStudy (anonymous):
did that; want to see how far is can factorize
OpenStudy (anonymous):
f(g(x))=\[(3/4x-4)/(4/4x-5)=(3-16x)/(4-20x)\]
OpenStudy (anonymous):
that isnt correct
OpenStudy (anonymous):
pull out a 4 in the denom
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OpenStudy (anonymous):
thanks
OpenStudy (angela210793):
Is X in the denominator?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
brackett that cannot be right
OpenStudy (angela210793):
(3-16x)/4x (3-16x) 4x 3-16x
------------=---------*-----------=----------
(4-20x)/4x 4x 4-20x 4-20x
Brackett is right
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OpenStudy (anonymous):
@akileez: there's x in the denominator of the fraction in both numerator and denomenator of the function, hence it'll get cancelled...hope its not confusing u :)
OpenStudy (anonymous):
one sec: redoing - thanks guys
OpenStudy (angela210793):
uw :)
OpenStudy (anonymous):
but, my answer choices dont reflect what you calc'd
OpenStudy (angela210793):
it doesn't?
wht is it?
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OpenStudy (anonymous):
a) (1/4) (4x-5)/(3x-4)
OpenStudy (anonymous):
b) (1/4)(12x^2-12x-5)/(4x-5)x
OpenStudy (anonymous):
c) (1/4)(16x-3)/(5x-1)
OpenStudy (anonymous):
d) ((4(3x-4)x))/(4x-5)
OpenStudy (anonymous):
e) (1/4)(16x+13)/(5x+4)
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OpenStudy (angela210793):
it is C cause 4-20x=4(1-5x)
and that is the only alternative tht has tht in denom.
OpenStudy (angela210793):
both up and down r divided with 4 so....
Wht do u think Brackett?
OpenStudy (anonymous):
that makes sense to me; i see where I misplaced the x in the denom before hand - thanks guys very helpful!