SOLUTION: Find the Domain of the function: (x^4

SOLUTION: Find the Domain of the function: (x^4 - 2x^2 +7)/ (3x^2 -10x -8)

Question 62557This question is from textbook
: Find the Domain of the function:
(x^4 - 2x^2 +7)/ (3x^2 -10x -8) This question is from textbook

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Find the Domain of the function:

The domain is what x is allowed to be. There is a restriction for x in rational functions. x can be anything EXCEPT what will make the denominator =0.

3x+2=0 and x-4=0
3x+2-2=0-2 and x+4-4=0+4
3x=-2 and x=4
3x/3=-2/3 and x=4
x=-2/3 and x=4
x cannot equal -2/3 or 4
The domain in set builder notation is:
{x|x not=-2/3,4} <---set builder notation
(-infinity,-2/3)U(-2/3,4)U(4,infinity)
Happy Calculating!!!
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