Given that f(x) = 5x^2 - 3x + 7 and f(g(x)) = 5x^4/9 + 17x^2/3 + 21, find all possilbe vaues for the sum of the coefficients in the polynomial function g(x).
Hint: g(x) = ax^2 + bx + c and g(1) would equal a + b + c
I have found that a+b+c = 7/3 or -26/15, but we need to know a+b, as the question is asking for the some of the coeeficients.
Thank you to anyone who helps, I’ll make sure to like all answers😁
