Jika f(og) (x) = 10x² - 8x - 3 dan g(x)= 2x+4 maka f-1(x) =

Jika f(og) (x) = 10x² – 8x – 3 dan g(x)= 2x+4 maka f-1(x) =

$(fog)(x)=10x^2-8x-3\ f(g(x))=10x^2-8x-3\ f(2x+4)=10x^2-8x-3$

misalkkan $2x+4=p$
maka
$x= frac{p-4}{2}$

$f(2x+4)=10x^2-8x-3\ f(p)=10(frac{p-4}{2})^2-8(frac{p-4}{2})-3$
$f(p)=10(frac{p^2-8p+16}{4})-4(p-4)-3\ f(p)= frac{5}{2} p^2-20p+40-4p+16-3\ f(p)= frac{5}{2} p^2-24p+53\\ f(x)= frac{5}{2} x^2-24x+53$