Hello, I have graphed the following equation:
y= 1/(x-1)
and I have figured out the domain (-infinity,1) U (1, +infinity), but I don't know what the range is and how to get it?
I know some main points as (2,1) and (-1, -.5) and (0,-1).
Thank you!
Hello, I have graphed the following equation:
y= 1/(x-1)
and I have figured out the domain (-infinity,1) U (1, +infinity), but I don't know what the range is and how to get it?
I know some main points as (2,1) and (-1, -.5) and (0,-1).
Thank you!
sometimes, a good way to find the range of a function is to find the domain of the function's inverse ...
$\displaystyle y = \frac{1}{x-1}$
$\displaystyle x = \frac{1}{y-1}$
$\displaystyle y-1 = \frac{1}{x}$
$\displaystyle y = \frac{1}{x} + 1$
domain of the inverse = range of the original function is all reals except 0