SOLUTION: Find the domain of g(x)=(sqrt)5-x

Question 50959: Find the domain of g(x)=(sqrt)5-x
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
[The radican (5-x) must be greater than or equal to zero because you cannot find the square root of a negative number. If the radicand is negative, it is an imaginary number.
.
g(x)=(sqrt)5-x [Set 5-x>=0]
5-x>=0 [solve for x]
5>=x or x<=5 [Same value]
Than, the domain or all of the possible values for "x", must be less than or equal to 5. Try a test case. Pick the numbers 4 and 6.
.

= 1 [OK]
4<=5 [This is a true statement]
.

[imaginary number]
So, 6<=5 is a false statement.

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