SOLUTION: find the domain of f (x) = (7^(x - 3))^1/(x - 1)

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Question 1210362: find the domain of f (x) = (7^(x - 3))^1/(x - 1)
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The given function is %287%5E%28x+-+3%29%29%5E1%2F%28x+-+1%29 = 7%5E%28x+-+3%29%2F%28x+-+1%29

The only restriction on the domain is having the denominator equal to 0, so the domain of the function is all real numbers except 1.

ANSWER: (-infinity, 1) U (1,infinity)

The exponent "^1" in the given function is rather strange; it has no function. If you didn't show the function correctly and it was supposed to be something different, the problem might be a bit more interesting.

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
find the domain of f (x) = (7^(x - 3))^1/(x - 1)
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I think that the function in this problem is

        f(x) = %287%5E%28x-3%29%29%5E%281%2F%28x-1%29%29,

which should be written in the HTML-format as

        f(x) = (7^(x-3))^(1/(x-1)),

so a pair of parentheses in the post is missed.

Otherwise, the formula defining the function looks strange and unnatural.

If it is so, then the only restriction for the formula is x =/= 1.