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Question 1206075: Find the domain of the function. (Enter your answer using interval notation.)
f(x) = x2/square root of 7 − x
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source):
Answer by ikleyn(52794)  (Show Source):
You can put this solution on YOUR website! .
When you are given a function under the square root operator
and they want you determine its domain, then you always perform the same procedure.
You determine the domain where the expression under the square root is non-negative,
and this domain is the domain of the whole function, including the square root operator.
If the square root operator is in the denominator (as in your case), then, in addition,
you should determine at what values of x the denominator is zero, and exclude
these values of x from the domain, too.
To write your post correctly, use parentheses, in order we, the tutors (as the readers)
could identify, WHICH part is under the square root, in clear form.
If you manage to post your functions in correct form, you will always obtain
the solutions and the answers back in concrete form.
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