F of G(x)=1/6x^2 G(x)=3x^2-2 Find f(x)

Question

Find thhe function F(x) given that f of g(x) is 1/6x^2 and g(x)=3x^2-2

Answer 1

f(g(x))=1/6x², g(x)=3x²-2

f(3x²-2)=1/6x²=1/(2(3x²-2+2))

f(x)=1/(2x+4)