Please help on reaching this Domain and Range of the function:

5y( x- 1)( x-3 )=2(5x + 3)

its Domain and Range :

D: x ≠ 1 , 3

R: {y|y ≥ -1/5 or y ≥ - 5}

i would like to know how to reach the solution on domain and range . i'm so confused.

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- Nov 27th 2010, 02:46 PMrcsFinding Domain and Range of function
Please help on reaching this Domain and Range of the function:

5y( x- 1)( x-3 )=2(5x + 3)

its Domain and Range :

D: x ≠ 1 , 3

R: {y|y ≥ -1/5 or y ≥ - 5}

i would like to know how to reach the solution on domain and range . i'm so confused. - Nov 27th 2010, 03:21 PMMondreus
If you write it on a more familiar form: $\displaystyle y = \frac{2(5x+3)}{5(x-1)(x-3)}$ you'll see that it is undefined for $\displaystyle x=1$ and $\displaystyle x=3$ since the denominator is 0 for those two values.

- Nov 27th 2010, 10:55 PMrcs
Thanks Mondreus !

How about showing the Solution before plugging in the values of x which is done by cases.

im a little confused now. - Nov 28th 2010, 02:17 AMHallsofIvy
Do you understand what "domain" and "range"

**mean**? - Nov 28th 2010, 05:03 PMrcs
i understand domain and range**HallsofIvy**

i wanted to ask for the manipulation or solution how it is being done to reach to the range and domain. thank you - Dec 3rd 2010, 04:45 AMrcs
how is by Cases done? please help