Question

Match the function with its value f(x)= x2-3x+3 g(x)= 2x2-1 f(z^2)= .....

Answer 1

There's nothing here to 'match' it with.

f(x) = x^2 - 3x + 3

f(z^2) = (z^2)^2 - 3z^2 + 3

f(z^2) = z^4 - 3z^2 + 3

g(x) is only there to confuse you.
Apparently it was successful.