tolong bantu saya, terima kasih sebelum nya bantuan nya
Matematika
salimaldjaidi
Pertanyaan
tolong bantu saya, terima kasih sebelum nya bantuan nya
1 Jawaban
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1. Jawaban dharmawan14
f (x) = 2x - 4, g (x) = x +1, dan h (x) = x^2
a) (f + g)(x) = f (x) + g (x )
= (2x -4) + (x + 1)
= 3x - 3
(f + g) (2) = 3.2 - 3 = 6 - 3 = 3
B) (h - g)(x) = h (x) - g (x)
= x^2 - (x +1)
= x^2 - x - 1
(h - g)(2) = 2^2 - -2 -1
= 4 + 2 -1
= 5
c) (f . g)(x) = (2x -4)(x +1)
= 2x^2 - 2x - 4
(f . g)(2) = 2(2)^2 - 2(2) -4
= 8 -4 -4
= 0
D) (h/g)(x) = x^2/(x + 1)
(h/g)(2) = 2^2 /(2+1)
= 4/3
e) fogoh(x) = f o g { h(x) }
= f o g (x^2)
= f ( x^2 +1)
= 2(x^2 + 1) -4
= 2x^2 - 2
f o g o h (2) = 2(2)^2 -2
= 8 -2
= 6