Question

If f(x) – g(x) = 2x2 - 4x +4 and f(x) = 3.r? – 2.x + 1 , what is g(x)?

Answer 1

$g(x)=x^2+2x-3$

Here, we want to get the value of g(x)

We can make straight substitution here

$\begin{gathered} \text{From the question;} \\ f(x)-g(x)=2x^2-4x+4 \\ g(x)=f(x)-(2x^2-4x+4) \\ g(x)=(3x^2-2x+1)-(2x^2-4x+4) \\ g(x)=3x^2-2x+1-2x^2+4x-4 \\ g(x)=3x^2-2x^2-2x+4x+1-4 \\ g(x)=x^2+2x-3 \end{gathered}$