SOLUTION: Find the domain of the function. f(x) = sqrt(13-x) Answer choices: A. (negative infinity, 13) or (13, infinity) B. (sqrt(7), infinity) C. (negative infinity, 13] D. (negat

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Question 349402: Find the domain of the function.
f(x) = sqrt(13-x)
Answer choices:
A. (negative infinity, 13) or (13, infinity)
B. (sqrt(7), infinity)
C. (negative infinity, 13]
D. (negative infinity, infinity)
Thanks! (:

Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
Yur answer is C

f(x)=~(13-x)
The domain of an expression is all real numbers except for the regions where the expression is undefined. This can occur where the denominator equals 0, a square root is less than 0, or a logarithm is less than or equal to 0. All of these are undefined and therefore are not part of the domain.
(-x+13)<0
Solve the equation to find where the original expression is undefined.
x>13
The domain of the rational expression is all real numbers except where the expression is undefined.
x<=13_(-I,13]

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