4
[tex](fogoh)(x) = f(g(h(x)))[/tex]
[tex](fogoh)(x) =f(g( {x}^{2} - 2))[/tex]
[tex](fogoh)(x) =f( 2( {x}^{2} - 2) + 4)[/tex]
[tex](fogoh)(x) =f(2 {x}^{2} - 4 + 4)[/tex]
[tex](fogoh)(x) =f(2 {x}^{2} )[/tex]
[tex](fogoh)(x) = - \frac{1}{2} (2 {x}^{2} )[/tex]
[tex](fogoh)(x) = - {x}^{2} [/tex]
[tex](fogoh)(2) = - (2) {}^{2} [/tex]
[tex](fogoh)(2) = - 4[/tex]
_____________________________________
5
[tex](fog)(x) = f( g(x)) [/tex]
[tex](fog)(x) =f(2x + 1)[/tex]
[tex](fog)(x) =3(2x + 1) {}^{2} + (2x + 1) - 7 \\ [/tex]
[tex](fog)(x) =3(4 {x}^{2} + 4x + 1) + 2x + 1 - 7 \\ [/tex]
[tex](fog)(x) =12 {x}^{2} + 12x + 3 + 2x + 1 - 7 \\ [/tex]
[tex](fog)(x) =12 {x}^{2} + 14x - 3[/tex]
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
4
[tex](fogoh)(x) = f(g(h(x)))[/tex]
[tex](fogoh)(x) =f(g( {x}^{2} - 2))[/tex]
[tex](fogoh)(x) =f( 2( {x}^{2} - 2) + 4)[/tex]
[tex](fogoh)(x) =f(2 {x}^{2} - 4 + 4)[/tex]
[tex](fogoh)(x) =f(2 {x}^{2} )[/tex]
[tex](fogoh)(x) = - \frac{1}{2} (2 {x}^{2} )[/tex]
[tex](fogoh)(x) = - {x}^{2} [/tex]
[tex](fogoh)(2) = - (2) {}^{2} [/tex]
[tex](fogoh)(2) = - 4[/tex]
_____________________________________
5
[tex](fog)(x) = f( g(x)) [/tex]
[tex](fog)(x) =f(2x + 1)[/tex]
[tex](fog)(x) =3(2x + 1) {}^{2} + (2x + 1) - 7 \\ [/tex]
[tex](fog)(x) =3(4 {x}^{2} + 4x + 1) + 2x + 1 - 7 \\ [/tex]
[tex](fog)(x) =12 {x}^{2} + 12x + 3 + 2x + 1 - 7 \\ [/tex]
[tex](fog)(x) =12 {x}^{2} + 14x - 3[/tex]