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sara1234
Group Title
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
 2 years ago
 2 years ago
sara1234 Group Title
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
 2 years ago
 2 years ago

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sara1234 Group TitleBest ResponseYou've already chosen the best response.1
\[f(x)=\sqrt{2x}\]
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.2
Hint: You cannot take the square root of a negative number (and get some real number)
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.2
So the radicand (the stuff inside the square root) can't be negative
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
can you please teach me how to do this step by step PLEASE
 2 years ago

jim_thompson5910 Group TitleBest 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
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
but its positive ??
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.2
I'm not sure what you mean
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
you said you can't take the square root of a negative number
 2 years ago

jim_thompson5910 Group TitleBest 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
 2 years ago

nickhouraney Group TitleBest 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
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
is the answer x ≤ 2
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
correct! good work !!
 2 years ago

sara1234 Group TitleBest ResponseYou've already chosen the best response.1
i missed you @ganeshie8
 2 years ago
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