dik: f(x) = 3x - 3, g(x) = 4x + 7, dan h(x) = 2 - 8x (utk soal 14-18) 14. (fog)(x)= 15. (goh)(x)= 16. (hof)(X)= 17. (fogoh)(x)= 18. (gof)(3)=
Matematika
Queenisa98
Pertanyaan
dik: f(x) = 3x - 3, g(x) = 4x + 7, dan h(x) = 2 - 8x (utk soal 14-18)
14. (fog)(x)=
15. (goh)(x)=
16. (hof)(X)=
17. (fogoh)(x)=
18. (gof)(3)=
14. (fog)(x)=
15. (goh)(x)=
16. (hof)(X)=
17. (fogoh)(x)=
18. (gof)(3)=
1 Jawaban
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1. Jawaban ZainTentorNF
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Diketahui :
f(x) = 3x - 3
g(x) = 4x + 7
h(x) = 2 - 8x
Nomor 14
-------------
(fog)(x) = f(g(x))
= 3.(4x + 7) - 3
= 12x + 21 - 3
= 12x + 18
Nomor 15
-------------
(goh)(x) = g(h(x))
= 4.(2 - 8x) + 7
= 8 - 32x + 7
= 15 - 32x
Nomor 16
-------------
(hof)(x) = h(f(x))
= 2 - 8.(3x - 3)
= 2 - 24x + 24
= 26 - 24x
Nomor 17
--------------
(fogoh)(x) = f(g(h(x)))
= 3.(15 - 32x) - 3
= 45 - 96x - 3
= 42 - 96x
Nomor 18
--------------
(gof)(x) = g(f(x))
= 4.(3x - 3) + 7
= 12x - 12 + 7
= 12x - 5
maka :
(gof)(3) = g(f(3))
= 12.(3) - 5
= 36 - 5
= 31
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FZA