How to do this algebra question

Question

g(1-t)= 3(1-t)^2-3(1-t)+2

I don't know how to finish this problem and I need help please.

Answer 1

Hint: Let the input of the function g be 1-t = x. It follows that g(x)=3x^2-3x+2

If you set it equal to zero and then solve the quadratic equation, the answers will be complex numbers

x=(3+4i)/6 and (3-4i)/6. Afterwards, equate the answers with the 1-t=x and solve for t.

Note that t=(3+-4i)/6.

Once you have solved for t, substitute for the function of g and evaluate it. The answer must be in complex from a+bi.