If f(x) = x-1 and g(x) =2x-3 find the sum, difference, product and quotient of these two functions

We have the following functions:
 f (x) = x-1
 g (x) = 2x-3

 For the sum we have:
 f (x) + g (x) = (x-1) + (2x-3)
 f (x) + g (x) = 3x - 4

 For subtraction we have:
 f (x) - g (x) = (x-1) - (2x-3)
 f (x) - g (x) = -x + 2

 For  the product we have:
 f (x) * g (x) = (x-1) * (2x-3)
 f (x) * g (x) = 2x ^ 2 - 3x - 2x + 3
 f (x) * g (x) = 2x ^ 2 - 5x + 3

 For the quotient we have:
 f (x) / g (x) = (x-1) / (2x-3)