Question 1202658: Find the domain of the function. (Enter your answer using interval notation.
h(x)=10/(x^2−4x)
Any help on this would be greatly appreciated.
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39613)   (Show Source):
Answer by ikleyn(52754)  (Show Source):
You can put this solution on YOUR website! .
Find the domain of the function. (Enter your answer using interval notation.
h(x)=10/(x^2−4x)
Any help on this would be greatly appreciated.
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Look at the denominator. It is (x^2-4x) = x*(x-4).
From this decomposition, you see that the roots of the denominator are x= 0 and x= 4.
The function is defined everywhere on the number line, except the points x= 0 and x= 4,
where the denominator is zero.
ANSWER. The domain of the given function is the entire number line except the points x= 0 and x= 4,
where the denominator is zero.
In interval notation, the domain is the union of three intervals (-oo,0) U (0,4) U (4,oo).
-oo means "minus infinity"; oo means "infinity".
Solved, with complete explanations.
Answer by greenestamps(13195)  (Show Source):
You can put this solution on YOUR website!
The domain of a rational function is all values except those that make the denominator zero.
The denominator is zero when x=0 and when x-4=0 -- i.e., when x=0 and when x=4.
ANSWER: the domain is all x except x=0 and x=4
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