Penjelasan dengan langkah-langkah:
- 1. Dik : f(x) = 2x + 1
g(x) = x - 2
- a) (fog) (x)
f(g(x))
f( x - 2)
f(g(x)) = 2(x - 2) + 1
= 2x - 4 + 1
= 2x - 3
- b) ( gof) (x)
g(f(x))
g(2x + 1 )
g(f(x)) = 2x + 1 - 2
= 2x - 1
- 2. Dik : f(x) = 2x - 3
g(x) = x² - 3x + 1
a). (fog) (x)
f(g(x))
f( x² - 3x + 1 )
f(g(x)) = 2( x² - 3x + 1 ) - 3
= 2x² - 6x + 2 - 3
= 2x² - 6x - 1
b). (gof) (x)
g(f(x))
g( 2x - 3 )
g(f(x)) = (2x - 3)² - 3(2x - 3) + 1
= 2x² - 12x + 9 - 6x + 9 + 1
= 2x² + 6x + 19
maaf klo salah
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