find the domain and range.of |x-4|/x-4
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Step-by-step explanation:
Domain is the set of all possible x values .
So x-4/4-x is only possible if 4-x is not equal to 0 .
Then at x=4 f(x) is not possible .
So domain of f(x) is set of all real numbers except 4.
Now range is the set of all y values possible .
Thus simplifying f(x) we get,
x-4/(-1)(x-4)
= -1
Thus range of f(x) is -1 as that is the only possible y value no matter what x is .
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