Find the domain of the function f(x) = 6x/3x - 2?
- R - {2/3}
- R - {3/2}
- R - {-2/3}
- None of these
Explanation
Given f(x) = 6x/(3x - 2)
The denominator cannot be zero:
3x - 2 ≠ 0
3x ≠ 2
x ≠ 2/3
So, the domain of f(x) is all real numbers except x = 2/3.
The answer is R - {2/3}.
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