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OpenStudy (anonymous):
3(n+1)n! / 5n! = 3(n+1)/5
OpenStudy (anonymous):
how did u get that? do the factorials just cancel out??
OpenStudy (anonymous):
i mean the n!...do they just cancel?
OpenStudy (anonymous):
n! cancelled with n!
OpenStudy (anonymous):
oh i see..can u tell me if my answers are right for some q's...its about finding teh domain and range
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OpenStudy (anonymous):
sure
OpenStudy (anonymous):
1) \[f(x) = \sqrt{x-4} \] \[D = x \ge 4 \] \[R = y \ge 0\]
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
\[2) f(x) = \sqrt{x ^{2} - 4} \]
D = x is greater tahn r equal to 2
R = all real numbers
OpenStudy (anonymous):
\[3) f(x) = \sqrt{4-x ^{2}} \]
\[D = 2 \ge x \]
\[R = 2 \ge y \]
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OpenStudy (anonymous):
D = x is greater tahn r equal to 2 or x is less tahn r equal to -2
OpenStudy (anonymous):
so both ar the solutions?
OpenStudy (anonymous):
this for #2
OpenStudy (anonymous):
yes both
OpenStudy (anonymous):
ok...
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OpenStudy (anonymous):
is the range correct
OpenStudy (anonymous):
for number 2
OpenStudy (anonymous):
R = all real numbers ( wrong)
OpenStudy (anonymous):
since we have a suare root the range always greater than or equal to 0
OpenStudy (anonymous):
so \[R = y \ge 0\]
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now #3
OpenStudy (anonymous):
D= x greater than or equal -2 and less than or equal 2
OpenStudy (anonymous):
R= like # 2 Range
OpenStudy (anonymous):
what is the diffence between how u wrote teh domain for 2 was x is g=2 OR x is less =-2
and when u used AND for number 3
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OpenStudy (anonymous):
|dw:1315443300915:dw|
OpenStudy (anonymous):
see the drawing we take the positive area only
OpenStudy (anonymous):
do you have an idea about the method of how to know the signs of quadratic experession?
OpenStudy (anonymous):
um i dont rember..dont u just substitute numbers to see if it fits teh solution
OpenStudy (anonymous):
yes this is one way, it's ok , but there is another one
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OpenStudy (anonymous):
------ -2 -------- 2 ------ x2-4
OpenStudy (anonymous):
we have here 3 area, one less than -2, the 2nd betwn -2 and 2 , and the third are greater than 2
OpenStudy (anonymous):
to put signs look to the coefficent of X^2 is positive or negative?
OpenStudy (anonymous):
the middle area alway opposit to the sign of x^2 coeffcient
OpenStudy (anonymous):
and the other area are like the sign of x^ cofficient
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OpenStudy (anonymous):
that's it
OpenStudy (anonymous):
but you can yours
OpenStudy (anonymous):
i have one more question to find domain n range
OpenStudy (anonymous):
ok , np
OpenStudy (anonymous):
\[f(x) = \sqrt{x ^{2}+44}\]
d = all real #'s and r = y is greater tahn = sqrt of 44 ....im confused about this one
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OpenStudy (anonymous):
d = all real #'s ( correct )
OpenStudy (anonymous):
range is the same as the one before
OpenStudy (anonymous):
but in y = [sqrt(x^-4) ] +3 ===? (domain greatrer or equal 3
OpenStudy (anonymous):
anyway I don wanna cuase you headache
OpenStudy (anonymous):
:)
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OpenStudy (anonymous):
which q are u talkin about? but in y = [sqrt(x^-4) ] +3 ===? (domain greatrer or equal 3
OpenStudy (anonymous):
or is that sthn u just wanted to point out?
OpenStudy (anonymous):
that is from my mind :)
OpenStudy (anonymous):
oh i see...thnanks...how bout if smthng is f(x) cube root of x?? is the domain and range both all real numbers
OpenStudy (anonymous):
yes , exactly
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OpenStudy (anonymous):
and for absolute value??
\[\left[ x+3 \right]-2 \]
is teh d = all real numbers and r=[-2, infinity)
OpenStudy (anonymous):
perfect
OpenStudy (anonymous):
soory i'm such a bother but i just want to compeltely understand domain and ranges...
OpenStudy (anonymous):
\[x ^{2}+y ^{2} = 25\]
D= [-5,5] and R = [-5,5] ...is this true?
OpenStudy (anonymous):
yes correct, and np ask anything sabrina
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OpenStudy (anonymous):
can u help me explain how to write rectangular equation? liek the question is eliminate the parameter t and then write a rectangulat equation for
\[x=t ^{2} + 3\] \[y=2t \]
OpenStudy (anonymous):
ok no problem...
OpenStudy (anonymous):
wat is ur email?
OpenStudy (anonymous):
ok?
OpenStudy (anonymous):
u can delete it now..i copied it..thnanks
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OpenStudy (anonymous):
ok see ypu sabrian and don hesitate to ask anything here or email , g2g sabrina bye