Question

Tolong dong kerjakan no 10 sama 11

Answer 1

Verified answer

10][
f(x) = √x
(fof)(x) = √√x = (x^1/2)^1/2 = x^1/4

g(x) = x² + 1

(gofof)(x)
= g((fof)(x))
= g(x^1/4)
= (x^1/4)^2 + 1
= x^1/2 + 1
= √x + 1

11][
f(x) = 3/(2x - 1)

(fog)(x) = (3x + 3)/(x - 1)
3/(2 g(x) - 1) = 3(x + 1)/(x - 1)
1/(2 g(x) - 1) = (x + 1)/(x - 1)
Kali silang
x - 1 = (2 g(x) - 1)(x + 1)
x - 1 = 2x . g(x) - x + 2 g(x) - 1
x + x = (2x + 2) g(x)
g(x) = 2x/(2x + 2)
g(x) = x/(x + 1)