Penjelasan dengan langkah-langkah:
Diketahui:
f(x) = x² - 2
g(x) = 2x + 1
(fog) (x) = f(g(x))
= (2x + 1 )² - 2
= (2x + 1 )(2x+1 ) - 2
= 4x² + 2x + 1 + 2x - 2
= 4x² + 4x - 1
Maka :
( f o g ) ( x )
f ( 9 ( x ) )
( 2x + 1 )² - 2
( 2x + 1 ) ( 2x + 1 ) - 2
2x ( 2x + 1 ) + 1 ( 2x + 1 ) - 2
4x² + 2x + 2x + 1 - 2
4x² + 4x - 1
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Penjelasan dengan langkah-langkah:
Diketahui:
f(x) = x² - 2
g(x) = 2x + 1
(fog) (x) = f(g(x))
= (2x + 1 )² - 2
= (2x + 1 )(2x+1 ) - 2
= 4x² + 2x + 1 + 2x - 2
= 4x² + 4x - 1
f(x) = x² - 2
g(x) = 2x + 1
Maka :
( f o g ) ( x )
f ( 9 ( x ) )
( 2x + 1 )² - 2
( 2x + 1 ) ( 2x + 1 ) - 2
2x ( 2x + 1 ) + 1 ( 2x + 1 ) - 2
4x² + 2x + 2x + 1 - 2
4x² + 4x - 1