SOLUTION: How do you find the domain of f. Given the function {{{f(x)=sqrt(4-3x)}}}

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Question 575870: How do you find the domain of f. Given the function f%28x%29=sqrt%284-3x%29
Found 2 solutions by solver91311, reviewermath:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The domain of a function is the set of values for which the function is defined over the real numbers. The square root function is defined for non-negative arguments, so the domain of is the set of real numbers that comprise the interval that is the solution to:



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Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of a negative number is NOT a real number, so the expression inside the square root sign should be non negative.
4-3x%3E=0
-3x%3E=-4, divide both sides by -3, change the direction of the inequality because we divide by a negative number
x%3C=4%2F3
Answer: (-infinity, 4/3]