Diketahui g(x) = 2x - 5, maka (fog)(x)= 6x-13, maka f(3) adalah
Matematika
tinna21
Pertanyaan
Diketahui g(x) = 2x - 5, maka (fog)(x)= 6x-13, maka f(3) adalah
2 Jawaban
-
1. Jawaban Anonyme
g (x) = 2x - 5
fog (x) = 6x - 13
f (g (x)) = 6x - 13
f (2x - 5) = 6x - 13
Misal :
y = 2x - 5
2x = y + 5
x = (y + 5) / 2
f (2x - 5) = 6x - 13
f (y) = 6 ((y + 5) / 2) - 13
f (y) = 3 (y + 5) - 13
f (y) = 3y + 15 - 13
f (y) = 3y + 2
f (x) = 3x + 2
Nilai dari f (3)
= 3x + 2
= 3 (3) + 2
= 9 + 2
= 11 -
2. Jawaban whongaliem
g (x) = 2x - 5 dan (f o g )(x) = 6x - 13
(f o g) (x) = 6x - 13
f (g (x)) = 6x - 13
f (2x - 5) = 6x - 13 ..... misal : 2x - 5 = A
2x = A + 5
x = 1/2 (A + 5)
f (A) = 6 {1/2 (a + 5) - 13
= 3 (a + 5) - 13
= 3a + 15 - 13
= 3a + 2
f (x) = 3x + 2
f (3) = 3 (3) + 2
= 9 + 2
= 11