Fungsi Komposisi Fungsi Invers g(x) = 2x+3 , fog(x) = 2x^2+2x+5, f(x) = ? dibantuu yaa ^^

g(x) = 2x + 3
(fog)(x) = 2x² + 2x + 5
f(g(x)) = 2x² + 2x + 5
f(2x + 3) = 2x² + 2x + 5
f(2x + 3 - 3) = 2(x - 3)² + 2(x - 3) + 5
f(2x) = 2(x - 3)² + 2(x - 3) + 5
f(x) = 2[tex] (\frac{x - 3}{2})^{2} [/tex] + 2[tex]( \frac{x - 3}{2} )[/tex] + 5

f(x) = [tex] \frac{(x^{2} - 6x + 9)}{2} [/tex] + x - 3 + 5

f(x) = [tex] \frac{1}{2} x^{2}[/tex] - 3x + [tex] \frac{9}{2} [/tex] + x - 3 + 5

f(x) = [tex] \frac{1}{2} x^{2}[/tex] - 2x + [tex] \frac{11}{2} [/tex]