SOLUTION: Find the domain of the following function:
(x-3)^-1/4
The book has the correct answer as (3, infinity), but I do not know how to arrive at this answer. And why did we use round
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-> SOLUTION: Find the domain of the following function:
(x-3)^-1/4
The book has the correct answer as (3, infinity), but I do not know how to arrive at this answer. And why did we use round
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Question 775000: Find the domain of the following function:
(x-3)^-1/4
The book has the correct answer as (3, infinity), but I do not know how to arrive at this answer. And why did we use round brackets and not square brackets??
Thanks Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Find the domain of the following function:
(x-3)^-1/4
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(x-3)^-1/4 = 1 / (x-3)^1/4
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1) any value of x that causes the denominator to be 0 is not allowed since the function is not defined. That value is 3.
2) notice that the function is not defined for x<3, since that implies that we are taking the fourth root of a negative number - this is not defined unless we include imaginary numbers.
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1 and 2 imply that the domain is (3, infinity
the open parenthesis indicates that the value 3 is not allowed
