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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.