f(x) = two divided by quantity x squared minus two x minus three
find the domain and range
x and y intercepts
horizontal asymptotes
vertical asymptotes

Question

f(x) =  two divided by quantity x squared minus two x minus three
find the domain and range 
x and y intercepts
horizontal asymptotes 
vertical asymptotes

mathmale · Answer

Rachel, could you possibly share this function f(x) written in math symbols instead of in English?  It's all too easy to misinterpret functions expressed in words.  If you must use words, then use parentheses to indicate which groups of words go together.

rachelallen2k16 · Answer

f(x)=2/x^2-2x-3

sshayer · Answer

find the value of x where denominator not zero.

mathmale · Answer

Rachel,

Your f(x)=2/x^2-2x-3 is much easier to read.  Thank you. Just one more request of you:  Please enclose the denominator in parentheses.  Otherwise some readers may assume yuo're dividing 2 by x^2 and then subtracting 2x+3 from the result.

$$f(x)=2/x^2-2x-3\rightarrow \frac{ 2 }{ (x^2-2x-3) }=f(x)$$

mathmale · Answer

Domain:  The set of input (x-) values for which the function is defined.  Your function is not defined if the denom. happens to be zero.  Thus, you must set the denom. = 0 and solve the resulting quadratic equation for x.  You should get two answers.

What will you do with them, so as to convey your domain clearly and effectively?