Diketahui f(x)=3x-1 dan f dot g(x)=x2+5 (2 itu pangkat jadi x pangkat 2) tentukan: g(x)

(f o g)(x) = x²+5
f(g(x)) = x²+5
3g(x)-1 = x²+5
3g(x) = x²+6
  g(x) = (x²+6)/3

[tex]f(x) = 3x - 1 \\ fog(x) = {x}^{2} + 5 \\ g(x) = ... \\ \\ fog(x) = f(g(x)) \\ {x}^{2} + 5 = 3(g(x)) - 1 \\ 3g(x) = {x}^{2} + 6 \\ \\ g(x) = \frac{ {x}^{2} + 6 }{3} [/tex]