Jawab:
Penjelasan dengan langkah-langkah:
Dari dua titik, buat dulu persamaan garisnya
f(x) (0,2) dan (1,3)
(y-y1) / (y2-y1) = (x-x1) / (x2-x1)
⇒ (y-2) /(3-2) = (x-0)/ (1-0)
⇒ y-2 / 1 = x/1
⇒ y-2 = x
⇒ y = x + 2
f(x) = x + 2
g(x) (2,3) dan (3,4)
⇒ (y-3) /(4-3) = (x-2)/ (3-2)
⇒ (y-3) / 1 = (x-2)/1
⇒ (y-3) = (x-2)
⇒ y = x - 2 + 3
⇒ y = x + 1
g(x) = x + 1
gof(x) = g(f(x))
= (f(x)) + 1
= x + 2 + 1
= x + 3
gof(2) = x + 3
gof(2) = 2 + 3 = 5
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Jawab:
Penjelasan dengan langkah-langkah:
Dari dua titik, buat dulu persamaan garisnya
f(x) (0,2) dan (1,3)
(y-y1) / (y2-y1) = (x-x1) / (x2-x1)
⇒ (y-2) /(3-2) = (x-0)/ (1-0)
⇒ y-2 / 1 = x/1
⇒ y-2 = x
⇒ y = x + 2
f(x) = x + 2
g(x) (2,3) dan (3,4)
(y-y1) / (y2-y1) = (x-x1) / (x2-x1)
⇒ (y-3) /(4-3) = (x-2)/ (3-2)
⇒ (y-3) / 1 = (x-2)/1
⇒ (y-3) = (x-2)
⇒ y = x - 2 + 3
⇒ y = x + 1
g(x) = x + 1
gof(x) = g(f(x))
= (f(x)) + 1
= x + 2 + 1
= x + 3
gof(2) = x + 3
gof(2) = 2 + 3 = 5