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

1 Answer
Jim G.
May 10, 2018

(-oo,-1/3)uu(-1/3,2)uu(2,oo)

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]}

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