diketahui f(×)=×+5,g(×)=2×+3, dan h(×)=ײ+3×-2.tentukan
a.(h•g•f)(-8)
b.(f•h•g)(-2)![]()
a.(h•g•f)(-8)
b.(f•h•g)(-2)
Jawab:
komposisi
f(x) = x + 5
g(x) = 2x + 3
h(x) = x² +3x - 2
a. (hogof)(-8)
= h{ go{f(-8)}}
= h{g (-8+5)}
= h {9(-3)}
= h {2(-3)+ 3}
= h {-6 + 3 }
= h (-3)
= (-3)² +3(-3) - 2
= 9- 9 - 2
= -2
(hogof)(-8) = - 2
b. (fohog)(-2) =
= f { g {h(-2)}}
= f{ g {(-2)² +3(-2) - 2)}
= f{ g (4- 6 - 2)}
= f { g (-4)}
= f {2(-4) + 3 }
= f {-8+ 3 }
= f (-5)
= -5 + 5
= 0
(fohog)(-2) = 0
semoga membantu
maaf kalok kurang rapi:)
fohog (-2) itu hasilnya -7 ya
=8-15
=-7
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