Question

Let f and g be two functions defined as


`f(x) = 3 {x}^(2) - x + 1 \\ g(x) = - {x}^(2) + 5x - 6 \\ a) \: find \: (f - g)(x) \\ b)find \: (f - g) ( - 1)`

Answer 1

`a) \:(f - g)(x) = 3 {x}^(2) - x + 1 + {x}^(2) - 5x + 6 = 4{x}^(2) - 6x + 7 \\ b) \: (f - g)( - 1) = 4{( - 1)}^(2) - 6( - 1) + 7 = 4 + 6 + 7 = 17`