tuh jawabannya hehehehehe
Diketahui:
f`¹(x) = 10x + 14
(h o f)`¹(x) = 5x + 4
Ditanya:
h`¹(x) = ...
(h o f)`¹(x) = (f`¹ o h`¹)(x)
5x + 4 = f`¹(h`¹(x))
5x + 4 = 10(h`¹(x)) + 14
5x + 4 - 14 = 10(h`¹(x))
5x - 10 = 10(h`¹(x))
h`¹(x) = (5x - 10)/10
h`¹(x) = (x - 2)/2
Jadi nilai h`¹(x) = (x - 2)/2.
________________________
Mapel: Matematika
Kelas: X
Materi: Bab 3 - Fungsi
Kata Kunci: Komposisi Fungsi
Kode Soal: 2
Kode Kategorisasi: 10.2.3
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Verified answer
tuh jawabannya hehehehehe
Diketahui:
f`¹(x) = 10x + 14
(h o f)`¹(x) = 5x + 4
Ditanya:
h`¹(x) = ...
Pembahasan
(h o f)`¹(x) = (f`¹ o h`¹)(x)
5x + 4 = f`¹(h`¹(x))
5x + 4 = 10(h`¹(x)) + 14
5x + 4 - 14 = 10(h`¹(x))
5x - 10 = 10(h`¹(x))
h`¹(x) = (5x - 10)/10
h`¹(x) = (x - 2)/2
Jadi nilai h`¹(x) = (x - 2)/2.
________________________
Mapel: Matematika
Kelas: X
Materi: Bab 3 - Fungsi
Kata Kunci: Komposisi Fungsi
Kode Soal: 2
Kode Kategorisasi: 10.2.3