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# C3 Functions question - what is domain of function watch

1. hi guys,

range of g(x) >1

what is its domain?

[the answer is x > 2]

any pointers as to how to get to the answers? i tried substituting g(x) for 1 but that gives 7 = 0

thanks.
2. If x = 2 then we have 0 as the denominator which would not be defined and therefore not every element of the set A would be mapped to exactly one element of set B. because of this x >2
3. Since the range is greater than 1, the function must always take a positive value. This rules out , the values for which the denominator is negative and the numerator is non-negative. Also is not possible since as Core said the denominator is 0.

Now think about the other possible values of x (for which the function is positive). There are two cases: and . Is for these values?
4. thanks guys will look into it tomorrow. much appreciated

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