2 x − 1 2 x − 3 R a t i o na l e x p ress i o n u n d e f in e d i f 2 x − 1 = 0 2 x = 1 / : 2 x = 2 1 ← an s w er
'Undefined' typically means division by zero ... what some people would look at and call it "infinity".
Any fraction is undefined when its denominator is zero.
2x - 1 = 0
Add 1 to each side:
2x = 1
Divide each side by 2 :
x = 1/2 .
The rational expression 2 x − 1 2 x − 3 is undefined when the denominator equals zero. Solving the equation 2 x − 1 = 0 gives x = 2 1 . Thus, the expression is undefined for x = 2 1 .
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