Question

Jika f(x) =2x-1 dan gof(x) =8x+7
Tentukan g(x) ​

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

Fungsi

diberikan

f(x) = 2x - 1

gof(x) = 8x+7

g(x) = ?

Metode inversi

f(x) = 2x - 1

f-¹(x) = ½x + ½

subtitusi f-¹(x) kedalam

g(f-¹(x) = 8(½x + ½) + 7

g(x) = 4x + 4 + 7

g(x) = 4x + 11

sehingga fungsi g(x) = 4x + 11

Metode penjabaran

g(f(x) = 8x + 7

g(2x - 1) = 8x + 7

g(x) = ( 8x + 7 + 1)/2) + 7

g(x) = (8x+8)/2 + 7

g(x) = 4x + 4 + 7

g(x) = 4x + 11