Question

diketahui f(x)=(2x+3)²+4,g(X)=3x-2 tentukan (g(f(x)) ​

Answer 1

f(x) = (2x + 3)² + 4

f(x) = (2x + 3)•(2x + 3) + 4

f(x) = (4x² + 6x + 6x + 9) + 4

f(x) = (4x² + 12x + 9) + 4

f(x) = 4x² + 12x + 9 + 4

f(x) = 4x² + 12x + 13

(gof)(x) = g(f(x))

(gof)(x) = g(4x² + 12x + 13)

(gof)(x) = 3•(4x² + 12x + 13) - 2

(gof)(x) = (12x² + 36x + 39) - 2

(gof)(x) = 12x² + 36x + 39 - 2

(gof)(x) = 12x² + 36x + 37