Jika fungsi f(x) =x+4/x-6, x tidsj sama dengan 6 dan g(x) =2x-1,maka g bundaran f invers x adalah

Jawab:

Penjelasan dengan langkah-langkah:

f (x) = (x + 4)/(x – 6)

g (x) = 2x – 1

(gof) (x) = g ((x + 4)/(x – 6))

(gof) (x) = 2 . ((x + 4)/(x – 6)) – 1

(gof) (x) = (2x + 8 – 1 . (x – 6)) / (x – 6)

(gof) (x) = (2x + 8 – x + 6)/(x – 6)

(gof) (x) = (x + 14)/(x – 6)

h (x) = (ax + b)/(cx + d)

h⁻¹ (x) = (-dx + b)/(cx – a)

(gof) (x) = (x + 14)/(x – 6)

(gof)⁻¹ (x) = (6x + 14)/(x – 1)

Detail Jawaban

Kelas  10

Mapel 2 – Matematika

Bab  6 – Fungsi Rasional

Kode Kategorisasi :  10.2.6