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OpenStudy (anonymous):
for f(x) = 4x+1 and g(x) = x^2 - 5
find [g/f](x)
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OpenStudy (anonymous):
super confused please help!
OpenStudy (anonymous):
would it just be the two equations over each other?
OpenStudy (jdoe0001):
pretty much, yes
geerky42 (geerky42):
\(\dfrac{g}{f}(x) = \dfrac{g(x)}{f(x)}\)
OpenStudy (anonymous):
so it's x^2-5 / 4x+1
which is D?
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OpenStudy (aum):
Make sure the denominator does not get to zero by excluding the x value that would make it zero.
OpenStudy (jdoe0001):
yeap
OpenStudy (anonymous):
nope :(
geerky42 (geerky42):
look closely at A
OpenStudy (anonymous):
yep it was A...
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OpenStudy (jdoe0001):
hmmm actaully listen to @aum above... you need to take into account the "constraints"
geerky42 (geerky42):
can x be -1/4? I mean this will get denominator to be 0
OpenStudy (anonymous):
ahh ok so when doing the function problems the denominator can never be zero? Why is that?
OpenStudy (jdoe0001):
well because say 25/0 =?
OpenStudy (jdoe0001):
0/25 = 0 but 25/0 = ?
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OpenStudy (anonymous):
undefined. got it. makes sense now! thanks!
OpenStudy (jdoe0001):
\(\bf \cfrac{0}{anything}=0\qquad \cfrac{anything}{0}=undefined\)
OpenStudy (anonymous):
thank you!
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