Diketahui:

f(x+4) = x-5

g(x) = (5x-3)/(x+3)

Ditanya:

(g⁻¹of)(17) = ?

pembahasan :

g(x) = (5x-3)/(x+3)

y = (5x-3)/(x+3)

yx +3y = 5x-3

yx-5x = -3y-3

x(y-5) = -3y-3

x = ( -3y-3)/(y-5)

g⁻¹(x) = (-3x-3)/(x-5)

f(x+4) = x-5

y = x+4

x = y-4

x-5 = y-4-5

x-5 = y -9

f(y) = y-9

f(17) = 17-9 = 8

(g⁻¹of)(17) = g⁻¹(f(17))

g⁻¹(x) = (-3x-3)/(x-5)

g⁻¹(f(17)) = (-3(8)-3)/(8-5)

= -27/3

= -9

jawaban :

nilai (g⁻¹of)(17) adalah: -9

opsi A

pelajari juga soal fungsi:

yomemimo.com/tugas/13209143

fungsi invers:

yomemimo.com/tugas/10798962

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Detail jawaban :

mapel : matematika

kelas : 8

materi : fungsi

kata kunci : invers.

kode soal : 2

kode : 8.2.2