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)