Question

F(x+2)= )
G(x)= 3X - 1
maka (G O F) (3) adalah

Answer 1

Pertama, cari f(x) dulu
misal x + 2 = p
maka x = p - 2

f(x + 2) = x² + 1
f(p)       = (p - 2)² + 1
f(p)       = p² - 4p + 4 + 1
f(p)       = p² - 4p + 5
f(x)       = x² - 4x + 5

Cari gof(x) dan gof(3)
gof(x) = g(f(x))
gof(x) = 3f(x) - 1
gof(x) = 3(x² - 4x + 5) - 1
gof(x) = 3x² - 12x + 15 - 1
gof(x) = 3x² - 12x + 14
gof(3) = 3(3)² - 12(3) + 14
gof(3) = 27 - 36 + 14
gof(3) = 5