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# 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

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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.

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