Question

Ada yang bisa bantu no 21 dan 22?

Answer 1

21. f-¹og-¹(x) = (gof)-¹(x)
gof(x) = 2(1 + 1/x) - 4
gof(x) = 2 + 2/x - 4
gof(x) = 2/x - 2
y = 2/x - 2
y + 2 = 2/x
x = 2 / (y + 2)
gof-¹(x) = 2 / (x + 2)
gof-¹(6) = 2 / (6 + 2) = 2/8 = 1/4

22. g-¹of-¹(x) = (fog)-¹(x)
fog(x) = 3 / (1/2x + 1) - 1
fog (x) = 3 / (1/2x)
fog(x) = 6x
y = 6x
x = y/6
(fog)-¹(x) = x/6
(fog)-¹(p) = 5
5 = p/6
p = 5×6 = 30