Question

1) Diket : f(x) = 2x-3
g (x) = 2x^2-5x+7
Tentukan: a. (fog)(x)....?
b. (gof)(x)....?
2) Diket : f(x)=3x-2
(fog)(x)= 6x^2+9x+4
Tentukan: a. g(x)....?
b. g^-1(x)...?
3)Diket : g(x)= 3x-1
(fog)(x)=9x^2-6x+5
Tentukan:a. f(x)...?
b. f (2)...?
4) Diket: f(x)= 5-2x
g(x)=7x+5
Tentukan:a. (fog)^-1(x)..?
b. (gof)^-1 (x)..?
5) Diket: f(x) = 3x-5/2x-5
Tentukan: a. f^-1(x) ..?
b. f^-1(3)..?
6)Diket: f (x-2)=3x-2/4x-1
Tentukan: a. f^-1 (x)...?
b. f^-1 (3)..?
7) Diket: f(x)= x^2 -6x+5
Tentukan: a. f^-1 (x)..?
b. f^-1 (3)..?
8) Diket: (fog)^-1(x)= 2x+1/3x+1
g(x) = x-1
Tentukan: a. f (x)..?
b. f^-1 (2)..?
9) Diket: f (x)= 2x-1
g (x) =3-4x
Tentukan: a.(f^-1og^-1)(x)...?
b.(g^-1of^-1)(x)...?
10) Diket: f^-1 (x)= 2x+1/3x-2
Tentukan: a. f (x)..?
b. f (4)...?

Answer 1

No 1
(fog)(x)=f g(x)
=f (2x^2-5x+7)
=2(2x^2-5x+7)-3
=4x^2-10x+14-3
(fog)(x) =4x^2-10x+11