Materi:Fungsi Komposisi & Invers

Materi:Fungsi Komposisi & Invers

Diketahui:

f(x)=x-2

g(x)=3x+2

Jawab:

a. (fog)⁻¹ (x)=?

(fog)(x)= (3x+2)-2= 3x

(fog)⁻¹ (x)= $frac{x}{3}$ atau x/3

b. (fog)⁻¹ (-2)=?

(fog)⁻¹ (x)= $frac{x}{3}$

(fog)⁻¹ (-2)= -2/3

c. (gof)⁻¹ (x)=?

(gof)(x)= 3(x-2)+2

(gof)(x)= 3x-6+2

(gof)(x)= 3x-4

(gof)⁻¹ (x)= $frac{x+4}{3}$

d. (gof)⁻¹ (3)=?

(gof)⁻¹ (3)= $frac{3+4}{3}$

(gof)⁻¹ (3)= $frac{7}{3}$ atau 7/3 atau 2,33

Semoga bermanfaat 🙂