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In Matematika / Sekolah Menengah Atas | 2025-07-17

Diketahui fungsi f, g, dan h dalam himpunan pasangan berurutan sebagai berikut. f = {(-4, 0), (-2, 2), (-1, 7), (3, 9), (5, 3), (7, 5)} g = {(-3, 1), (0, -1), (2, 3), (5, -2), (7, -6), (9, -3)} h = {(-6, 1), (-3, 0), (-2, 5), (-1, 4), (1, 9), (3, 7)} Tentukan himpunan pasangan berurutan yang menyatakan: a. h ○ g b. g ○ f c. h ○ g ○ f

Asked by dikanureni9121

Answer (3)

3/4 is greater than 0.6, because if u convert 3/4 into a decimal,you get 0.75,which is greater than 0.6

Answered by unit274 | 2024-06-10

0.6 is less than 4 3 ​ since 0.6 is equal to 0.6 and 4 3 ​ equals 0.75. Therefore, 4 3 ​ is larger than 0.6.
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Answered by Anonymous | 2024-10-02

Jawaban: menentukan himpunan pasangan berurutan untuk komposisi fungsi yang diminta. Diketahui: - f = {(-4, 0), (-2, 2), (-1, 7), (3, 9), (5, 3), (7, 5)}- g = {(-3, 1), (0, -1), (2, 3), (5, -2), (7, -6), (9, -3)}- h = {(-6, 1), (-3, 0), (-2, 5), (-1, 4), (1, 9), (3, 7)} a. h ○ g (h(g(x))) Kita cari nilai g(x) terlebih dahulu, lalu hasilnya kita masukkan ke fungsi h. - g(-3) = 1, lalu h(1) = 9. Maka, (-3, 9)- g(0) = -1, lalu h(-1) = 4. Maka, (0, 4)- g(2) = 3, lalu h(3) = 7. Maka, (2, 7)- g(5) = -2, lalu h(-2) = 5. Maka, (5, 5)- g(7) = -6, lalu h(-6) = 1. Maka, (7, 1)- g(9) = -3, lalu h(-3) = 0. Maka, (9, 0) Jadi, h ○ g = {(-3, 9), (0, 4), (2, 7), (5, 5), (7, 1), (9, 0)} b. g ○ f (g(f(x))) Kita cari nilai f(x) terlebih dahulu, lalu hasilnya kita masukkan ke fungsi g. - f(-4) = 0, lalu g(0) = -1. Maka, (-4, -1)- f(-2) = 2, lalu g(2) = 3. Maka, (-2, 3)- f(-1) = 7, lalu g(7) = -6. Maka, (-1, -6)- f(3) = 9, lalu g(9) = -3. Maka, (3, -3)- f(5) = 3, tetapi 3 tidak ada di domain g, maka tidak ada pasangan berurutan.- f(7) = 5, lalu g(5) = -2. Maka, (7, -2) Jadi, g ○ f = {(-4, -1), (-2, 3), (-1, -6), (3, -3), (7, -2)} c. h ○ g ○ f (h(g(f(x)))) Kita sudah punya g ○ f, jadi kita tinggal komposisikan dengan h. - g(f(-4)) = -1, lalu h(-1) = 4. Maka, (-4, 4)- g(f(-2)) = 3, lalu h(3) = 7. Maka, (-2, 7)- g(f(-1)) = -6, lalu h(-6) = 1. Maka, (-1, 1)- g(f(3)) = -3, lalu h(-3) = 0. Maka, (3, 0)- g(f(7)) = -2, lalu h(-2) = 5. Maka, (7, 5) Jadi, h ○ g ○ f = {(-4, 4), (-2, 7), (-1, 1), (3, 0), (7, 5)}

Answered by ara1412 | 2025-08-09