Given functions f(x)=1/root x and h(x)=x^2-4 , state the domains of the following functions using interval notation.
Domain of f(x)/h(x)=?
Domain of f(h(x))=?
Domain of h(f(x))=?
Help with finding domain of function!?
2013-06-28 1:30 am
回答 (2)
2013-06-28 1:41 am
✔ 最佳答案
f(x)/h(x) = 1/[√x * (x - 2)(x + 2)] the domain:
x must be greater than 0 , can not be -2 , can not be 2:
now let's put it all together:
0 < x < 2 or x > 2
(0 , 2) U (2 , ∞)
I hope this helps.
2013-06-28 8:37 am
f(x)/h(x) = (1/âx)/(x^2 - 4) = 1/(âx(x^2 - 4))
The domain is (0, 2) U (2, â).
f(h(x)) = 1/â(x^2 - 4)
The domain is (-â, 2) U (2, â).
h(f(x)) = (1/âx)^2 - 4 = 1/x - 4
The domain is (-â, 0) U (0, â).
The domain is (0, 2) U (2, â).
f(h(x)) = 1/â(x^2 - 4)
The domain is (-â, 2) U (2, â).
h(f(x)) = (1/âx)^2 - 4 = 1/x - 4
The domain is (-â, 0) U (0, â).
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