Question

Quiz Math

Jika fungsi f dan g memiliki invers dan memenuhi , maka

Answer 1

F(2x) = g(x - 3)

maka
2x = f⁻¹(g(x - 3))

misal
g(x - 3) = y
x - 3 = g⁻¹(y)
x = g⁻¹(y) + 3

2(g⁻¹(y) + 3) = f⁻¹(y)
2g⁻¹(y) + 6 = f⁻¹(y)

maka
f⁻¹(x) = 2g⁻¹(x) + 6

Answer 2

Materi : Fungsi Invers

Solution is attached. Hope you don't mind at all.