Question

5. Tentukan (fog) ¹ (x) jika f(x) = 3x dan g(x) = x + 3

itu invers ya kak bukan 1 tapi fog -1​

Answer 1

Invers Fungsi

f(x) = 3x

g(x) = x + 3

(fog)(x)

= f(g(x))

= f(x + 3)

= 3(x + 3)

= 3x + 9

(fog)(x) = y = 3x + 9

3x = y - 9

x = (fog)⁻¹ (y) = (y - 9)/3

Inver fungsi :

(fog)⁻¹ (x) = (x - 9)/3