Question

How do you simplify the expression and find the excluded values for the rational expression `\frac{4x-2}{2x^2+x-1}`?

Answer 1

Since the denominator cannot be zero,

`2x^2+x-1=(2x-1)(x+1) ne 0`

`=> {(2x-1 ne 0 => 2x ne 1 => x ne 1/2),(x+1 ne 0 => x ne -1):}`

Hence, the excluded values are `1/2` and `-1`.

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I hope that this was helpful.