jika f(x)= 5x-3 dan g(x)= 2x2+1 maka tentukan a. (fog)(x) b. (fof)(x) c. (fog)(2) d. (gof)(x) e. (gog)(x) f. (gof)(1)

a. (fog)(x) = 5(2x^2+1) - 3 = 10x^2 + 5 - 3 = 10x^2 + 2

b. (fof)(x) = 5(5x-3) - 3 = 25x - 15 - 3 = 25x - 18

c. (fog)(2) = 10x^2 + 2 = 10 × 2^2 + 2 = 10 × 4 + 2 = 40 + 2 = 42

d. (gof)(x) = 2(5x-3)^2 + 1 = 2(25x^2 + 9) + 1 = 50x^2 + 18 + 1 = 50x^2 + 19

e. (gog)(x) = 2(2x^2+1)^2 + 1 = 2(4x^4 + 4x^2 + 1) + 1 = 8x^4 + 8x^2 + 2 + 1 = 8x^4 + 8x^2 + 3

f. (gof)(1) = 50x^2 + 19 = 50 × 1^2 + 19 = 50 + 19 = 69