# How do you find the domain of #g(x)= root3x/(x^2+x-90)#?

##### 1 Answer

Oct 31, 2015

For the domain of x, you need to search the values of x for which this function becomes defined.

One thing, in this function g(x) , it is not defined when the denominator = 0.

So for what value to x does the denominator becomes 0 ?

#x^2 + x - 90 =0 #

#x^2 + ( 10-9 ) -90 =0 #

#x^2 + 10x - 9x -90 =0#

#x ( x+10) -9 ( x+ 10) =0#

#(x+10) ( x-9) =0#

either,

So,

or,

So when the value of

Therefore, for all values of

Domain of