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