diberikan f( X ) = x²+ 2 dan g ( X ) = x² - 2. ( g o f ) ( X) - ( f o g ) ( X ) =
Matematika
Ismi1234
Pertanyaan
diberikan f( X ) = x²+ 2 dan g ( X ) = x² - 2. ( g o f ) ( X) - ( f o g ) ( X ) =
1 Jawaban
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1. Jawaban Syahrudi
[tex]f(x)=x^2+2 \\
g(x)=x^2-2 \\
(gof)(x)-(fog)(x) \\ = g( {x}^{2} + 2 ) - f( {x}^{2} - 2) \\ = ({x}^{2} + 2 )^{2} - 2 - ( ({x}^{2} - 2 )^{2} + 2) \\ = {x}^{4} + 2 {x}^{2} + 4 - 2 - ( {x}^{4} - 2 {x}^{2} + 4 + 2) \\ = 4 {x}^{2} - 4[/tex]