Jika (f o g) (x) = X^2-4 dan g(x) = x+3 maka f(x)? ^= kuadrat Tolong dibantu ya terima kasih

f o g (x ) = x^2 -4, g(x) = x + 3
f { g (x) } = x^2 -4
f (x + 3) = x^2 -4
f (x +3) = (x + 3)^2 -6x -9 -4
f (x + 3) = (x +3)^2 -6x - 13
f (x + 3) = (x + 3)^2 -6(x + 3) + 5
f (x) = x^2 -6x +5

[tex](fog)(x) = {x}^{2} - 4 \\f(g(x)) = {x}^{2} - 4 \\ g(x) = x + 3 \\ f( x + 3) = {x}^{2} - 4 \\misal \: \: p = x + 3 \\ x = p - 3 \\ f(p - 3 + 3) = {(p - 3)}^{2} - 4 \\ f(p) = {p}^{2} - 6p + 9 - 4 \\ f(p) = {p}^{2} - 6p + 5 \\ f(x) = {x}^{2} - 6x + 5[/tex]
semoga membantu:)