If x is a real number, for what values of x is the equation (3x-6)(x-2)^{-1}=3 true. F. all values of x G. some values of x H. no values of x l. impossible to determine

If x is a real number, for what values of x is the equation (3x-6)(x-2)^{-1}=3 true. F. all values of x G. some values of x H. no values of x l. impossible to determine

Question
Equations
asked 2020-11-09
If x is a real number, for what values of x is the equation \((3x-6)(x-2)^{-1}=3\) true.
F. all values of x G. some values of x H. no values of x l. impossible to determine

Answers (1)

2020-11-10
\((3x-6)(x-2)^{-1}=3\)
\(\frac{3x-6}{x-2}=3\)
\(3x-6=3(x-2)\)
\(3x-6=3x-6\)
Since this is true for all values of x with the exception of \(x = 2^{1}\), so the answer choice is G.
Note:(1) if \(x = 2\), we are dividing by 0, bit we can't divide by 0, so can't be 2.
0

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