given that f:x =
[tex]ax { }^{2} +bx \: is \: a \: mapping \: defined \: on \: the \: set \: of \: real \: numbers \: given \: that \: f(1) = 5 \: and \: f( - 1 = - 1 \: determine \: the \: value \: of \: a \: and \: b[/tex]