1. Simplify the rational expression State any excluded values.

7x-14/x-2

A.x
B.7;where x≠7
C.7;where x≠2****
D.0

I know its between B and C but I'm not sure what the -->≠ is really asking me for but I think the answer is C, please help

1 answer

it is clearly C, because

(7x-14) = 7(x-2)

but you cannot have a denominator of zero. So, while the fraction is equal to 7 almost everywhere, the value of x=2 is excluded because then the fraction is

7(0)/0 and is undefined.

The numerator can be zero whenever it wants, so x=7 is perfectly ok.

7(0)/5 = 0

and is just fine.
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