SOLUTION: Find the domain of the function algebraically f(x)= square root( x^4-16x^2) Work: x^4-16x^2 > or equal to 0 x^2(x^2-16) > or equal to 0 x^2(x-4)(x+4) > or equal to 0

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Question 898961: Find the domain of the function algebraically f(x)= square root( x^4-16x^2)
Work:
x^4-16x^2 > or equal to 0
x^2(x^2-16) > or equal to 0
x^2(x-4)(x+4) > or equal to 0
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!



Your work appears on the right track.




Critical values for the domain are 4 and -4. Three intervals of the x-axis
can be checked.
You will find the domain is the UNION of and .
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Find the domain of the function algebraically f(x)= square root( x^4-16x^2)
Work:
x^4-16x^2 > or equal to 0
x^2(x^2-16) > or equal to 0
x^2(x-4)(x+4) > or equal to 0


That is the CORRECT work!!

At this stage: , the CRITICAL POINTS are:



Based on the critical points, the points and intervals that are solutions to the inequality are:

 

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