diketahui (g o f) (x)+4x^(2)=4x^(2)-4x dan g(x)=x^(2)-1. tentukanlah nilai f(x-2) ?

(g o f)(x)+4x²=4x²-4x
(g o f)(x) = 4x² - 4x² -4x = -4x
(g o f)(x) = -4x
g(f(x)) = -4x
(f(x))²-1 = -4x
(f(x))² = 1-4x
[tex]f(x) = \sqrt{1-4x} \\ f(x+2)= \sqrt{1-4(x+2)} = \sqrt{1-4x-8} = \sqrt{-4x-7} [/tex]