jika f(x)= 2X -3 Dan ( gof) =2x+1 maka g(x) =......

jawab

f(x)= 2x - 3
gof(x) = 2x + 1
g { f(x)} = 2x + 1
g(2x-3) = 2x+ 1
g(2x- 3)=  (2x - 3) + 4
g(x) = x + 4

●MATHEMATICS SOLUTION●

Diketahui:
f(x) = 2x - 3
(gof)(x) = 2x + 1
Ditanya: g(x)
Jawab:
Buat permisalan terlebih dahulu:
2x - 3 = a (untuk ruas kanan)
x = (a + 3)/2 (untuk ruas kiri)
Dari definisi (gof)(x):
(gof)(x) = 2x + 1
g(f(x)) = 2x + 1
g(2x - 3) = 2x + 1
Masukkan permisalan tadi:
g(2x - 3) = 2x + 1
g(a) = 2{(a + 3)/2} + 1
g(a) = a + 3 + 1
g(a) = a + 4
Jadi:
g(x) = x + 4