Question

Ditentukan f(x) = . Jika f⁻¹(4) = 1 , maka f(3) = ....

Answer 1

Verified answer

Ditentukan f(x) = (ax + 1)/(2 - x). Jika f⁻¹(4) = 1 , maka f(3) = ....

Pembahasan :

f(x) = y ==> f⁻¹(y) = x

Jadi berdasarkan definisi diatas

f⁻¹(4) = 1
=> f(1) = 4
=> (a(1) + 1)/(2 - 1) = 4
=> (a + 1)/1 = 4
=> a = 3

f(x) = (ax + 1)/(2 - x)
f(x) = (3x + 1)/(2 - x)
f(3) = (3(3) + 1)/(2 - 3)
f(3) = 10/(-1)
f(3) = -10

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Kelas : 11
Mapel : Matematika
Kategori : Fungsi Komposisi dan Fungsi Invers
Kata Kunci : Fungsi invers
Kode : 11.2.6 (Matematika Bab 6. Fungsi)

Answer 2

F(3) = -10
Cara ada pada lampiran