Question

Tolong saya bsk mau di kumpulin. diketahui f(x)= x-3 dan g(x)= 2x+4.
Tentukan:
a. (f-¹og-¹)
b. (g-¹of-¹)
c. apakah (f-¹og-¹)(x)=(g-¹of-¹)(x) ?

Answer 1

F(x) = x -3
y = x -3
x = y + 3
f^-1(x) = x + 3

g(x) = 2x + 4
y = 2x + 4
2x = y - 4
x = y - 4 per 2
g^-1(x) = x -4 per 2

a) (f^-1og^-1) (x)
=f^-1 (x-4 per 2)
= (x-4 per2) + 3
= x-4 per 2 + 6 per 2
= x + 2 per 2

b) (g^-1of^-1)(x)
=g^-1 ( x+3)
=(x+3) -4 per 2
= x - 1 per 2

c) (f^-1og^-1)(x) =/ (g^1of^-1)(x)

maap klo salah