What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 over x?

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What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 over x?

Mathematics
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|dw:1437173731559:dw|
The least common denominator is 2x(x+1).
not 2(x^2+1)

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|dw:1437174478470:dw|
we have x+1, 2x and x
the LCD is equal to the LCM of x+1, 2x and x
if we look at the unique factors of the three expressions, we will find that x+1, 2 and x are the unique factors (x repeats itself twice) so that's why the LCM of x+1, 2x and x is `2x(x+1)` so the LCD is also `2x(x+1)`
oK! Thank you!
What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24?
I got -6
very nice 4x+24 = 0 leads to x = -6
Last one:)
After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denominator of 6x, what is the numerator?
I got 3x^2+x-4 :)
|dw:1437174637242:dw|
very good. I'm getting the same
Yay!!
What is the graph of the function f(x) = the quantity negative x squared plus x plus 20 over the quantity x plus 4?
I don't understand this one? I got x=-4 for the discontinuity and -9 as the point.
you can use desmos to graph if you don't have a graphing calculator https://www.desmos.com/calculator
you would type in (-x^2 + x + 20)/(x+4) don't forget the parenthesis
okay thanks for all your help:)!!!!!
you're welcome
lol i gave you the right answer...

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