F(x) = x2+3x-2 dan ( f o g) (x) = x2+3. tentukan g(x)

f(x)=x²+3x-2

fog(x) = x²+3
f(g(x)) = x²+3
g² +3g -2 = x²+3
(g+3/2)² - 9/4 -2 = x²+3
(g+3/2)² -17/4 = x² +3
(g+3/2)² = x² +29/4
g +3/2 = ±√(x²+29/4)
g(x) = -3/2 ±√(x²+29/4)