diketahui (gof)(x)= 4x²+4x dan g(x)=x²-1 tentukan f(x-2)?

jawab

gof(x)= 4x² + 4x
g{ f(x)} = 4x² + 4x
f²(x) - 1 = 4x² + 4x
f²(x)= 4x² + 4x + 1
f(x)= √(4x²+4x+ 1)
f(x-2) = √{4(x-2)² + 4(x -2) + 1}
f(x-2) = √(4x² - 16x+16 + 4x -8  +1)
f(x-2) = √(4x² - 12x + 9)