Given P (x) = x-1/ 2x-3, Find P (-2)

The notation P(-2) for your given P(x) means that wherever you see an x, replace it with -2, then evaluate

so
P(-2) = (-2-1)/-4-3)
= -3/-7
= 3/7

(The way you wrote your expression, according to the order of operation, would be
P(x) = x - (1/2)*x - 3 but I am sure that is not what you meant)

To find P(-2), we need to substitute -2 for x in the given expression P(x) = (x-1)/(2x-3).

So, we have:

P(-2) = ( -2 - 1 ) / ( 2*(-2) - 3 )
= ( -3 ) / ( -4 - 3 )
= -3 / -7
= 3/7

Therefore, P(-2) = 3/7.