Let f and g be defined as f(x)=x-5 and g(x)=x²-1.
2. Let f and g be defined as in the previous example. Express the following functions as the sum, difference, quotient, or product of f and g.
(a)
[tex]p(x) = x {}^{2} - x - 4[/tex]
(b)
[tex]q(x) = - {x}^{2} + 2x - 9[/tex]
(c)
[tex]r(x) = \frac{x - 5}{ {2x}^{2} - 2 } [/tex]
(d)
[tex]s(x) = \frac{ {x}^{2} - x + 4}{x - 5} [/tex]
(e)
[tex]t(x) = \frac{ {x}^{3} - 4 {x}^{2} - 11x + 30 }{ {x}^{2} - 1 } [/tex]

​