jika diketahui f(x) = [tex] \frac{2}{x-3} [/tex] dan ( fog )(x) = [tex] \frac{2}{3 x^{2} - 8} [/tex] , tentukan g(x) dan nilai g(2) mohon bantuannya lagi :') :'

f(x) = [tex] \frac{2}{x-3} [/tex]

(fog)(x) = [tex] \frac{2}{3x^2-8} [/tex]
f(g(x)) = [tex] \frac{2}{3x^2-8} [/tex]
[tex] \frac{2}{g(x)-3} = \frac{2}{3x^2-8} [/tex]
g(x) - 3 = 3x² - 8
g(x) = 3x² - 5

g(2) = 3(2)² - 5
= 12 - 5
= 7