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Let f and g be two functions defined as
[tex]f(x) = 3 {x}^{2} - x + 1 \\ g(x) = - {x}^{2} + 5x - 6 \\ a) \: find \: (f - g)(x) \\ b)find \: (f - g) ( - 1)[/tex]

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Kamikazeminem

[tex]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[/tex]

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