Question

Diket fungsi f(x)=3/x dan g(x)=x²-4tentukan a. fog(x)
b. gof(x) c. fof(x) d. gog(x)

Answer 1

Verified answer

F(x) = 3/x
G(x) = x^2 - 4

a. F(g(x)) = 3/x^2-4
b. G(f(x)) = (3/x)^2 - 4 = 9/x^2 - 4 = 9-4x^2 /x^2
c. F(f(x)) = 3/ 3/x = 3x/3 = x
d. G(g(x)) = (x^2-4)^2 - 4 = x^4 - 8x^2 + 16 - 4 = x^4 - 8x^2 + 12