Jika 3f * (x) = 3 - 2x dan g(x) = 3x ^ 2 - x - 1 . Tentukan: a. (fog)(x) b. (fog) (1)
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Jika 3f * (x) = 3 - 2x dan g(x) = 3x ^ 2 - x - 1 .
Tentukan: a. (fog)(x) b. (fog) (1)
3 f(x) = 3 -2x
f(x) = 1/3 ( 3 - 2x)
a. fog(x) =
= f{g(x)}
= f(3x² - x - 1)
= 1/3 { 3 - 2(3x² - x - 1))
= 1/3 ( 3 - 6x² + 2x + 2)
= 1/3 ( 5- 6x² + 2x)
b. fog(1) =
= 1/3 ( 5- 6(1)² + 2(1))
= 1/3 (5 - 6 +2)
= 1/3 (1)
= 1/3
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