G(x)=2x+3/x-4
find a value of x such that G(x) does not exist
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Step-by-step explanation:
Firstly, we need to be very clear and use brackets.
I assume you mean g(x) = (2x + 3)/(x - 4)...??
There is a 'world' of difference between this and other forms...
i.e. g(x) = 2x + (3/x) - 4 or 2x + (3/(x - 4)
Assuming the former we have a rational function, which will exist so long as the denominator is NOT zero.
i.e. x - 4 ≠ 0
so, x ≠ 4
Hence, g(x) does not exist if x = 4
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