Let f(x) = 2x2 + x − 3 and g(x) = x − 1. find f(x)/g(x) and state its domain

We have 2x^2 + x - 3 = 2x^2 - 2x + 3x - 3 = 2x ( x - 1 ) - 3( x - 1 ) = ( x - 1 )( 2x - 3 );

But g(x) is not 0; then, x is not 1;

The domain is R - {1} ;

f(x) / g(x) = ( x - 1 )( 2x - 3 ) / (x - 1 ) = 2x - 3;

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