# How do you find the domain of the function #F(x)= -4/(3x^2-5x-2)#?

##### 1 Answer

May 10, 2018

#### Explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be.

#"solve "3x^2-5x-2=0rArr(3x+1)(x-2)=0#

#3x+1=0rArrx=-1/3larrcolor(red)"excluded value"#

#x-2=0rArrx=2larrcolor(red)"excluded value"#

#"domain "x in(-oo,-1/3)uu(-1/3,2)uu(2,oo)#

graph{-4/(3x^2-5x-2) [-10, 10, -5, 5]}