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Determine the domain of the function.
f(x) is equal to the square root of two minus x.
x ≤ 2
All real numbers
x > 2
All real numbers except 2
 one year ago
 one year ago
Determine the domain of the function. f(x) is equal to the square root of two minus x. x ≤ 2 All real numbers x > 2 All real numbers except 2
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.2
Hint: You cannot take the square root of a negative number (and get some real number)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
So the radicand (the stuff inside the square root) can't be negative
 one year ago

sara1234Best ResponseYou've already chosen the best response.1
can you please teach me how to do this step by step PLEASE
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
Similar example: Find the domain of \[\Large g(x) = \sqrt{x+3}\] You can't take the square root of a negative number, so the radicand must be either 0 or positive. So... \[\Large x+3 \ge 0\] \[\Large x+33 \ge 03\] \[\Large x \ge 3\] is the domain
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
I'm not sure what you mean
 one year ago

sara1234Best ResponseYou've already chosen the best response.1
you said you can't take the square root of a negative number
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
yes exactly, so whatever number that is in the square root is either a) zero or b) positive
 one year ago

nickhouraneyBest ResponseYou've already chosen the best response.0
if your finding the domain of a square root your rules are that the number cant be negative. if you were taking the domain of a fraction the rules would be you cant have a zero on the denominator
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
correct! good work !!
 one year ago

sara1234Best ResponseYou've already chosen the best response.1
i missed you @ganeshie8
 one year ago
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