1. F (×) = X² , g (x) = x+2, dan h(x)=X- 4 Tentukan fo g o h (x)
2. F (×) = ×+5 , g (×) = 2 ×+3 ,dan h (×) = 3× - 1 Tentukan a. ( f o g)o h (×)
b. f o ( g o h ) (×)
Tolong bantu jawab dong buat tugass makasi yang udah bantu
2. F (×) = ×+5 , g (×) = 2 ×+3 ,dan h (×) = 3× - 1 Tentukan a. ( f o g)o h (×)
b. f o ( g o h ) (×)
Tolong bantu jawab dong buat tugass makasi yang udah bantu
Jawaban:
1.
fogoh(x)
= fog(h(x))
= fog(x-4)
= f(g(x-4))
= f((x-4)+2)
= f(x-2)
= (x-2)²
= x²-4x+4
2a.
(fog)(x)
= f(g(x))
= f(x+2)
= (x+2)²
= x²+4x+4
(fog)oh(x)
= fog(h(x))
= fog(x-4)
= (x-4)²+4(x-4)+4
= x²-4x+4
2b.
goh(x)
= g(h(x))
= g(x-4)
= g(x-4)
= (x-4)+2
= x-2
fo(goh)(x)
= f(x-2)
= (x-2)²
= x²-4x+4
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