jika f (2-x)=x/2+3, maka f -1 (x)=

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
F(2 - x) = (x/2) + 3

Misa 2 - x = a
x = 2 - a

F(a) = [(2 - a)/2] + 3
F(a) = 1 - 1/2 a + 3
F(a) = 4 - 1/2 a
F(x) = 4 - 1/2 x

F(x) = y
4 - 1/2 x = y
8 - x = 2y
x = 8 - 2y
F^-1(x) = 8 - 2x