Question

Express your answer as a polynomial in standard form.f (x) = 3x2 + x - 1g(x) = -3x + 5Find: g(f (2)το τες

Answer 1

Given the two polynomials, we are looking for the composite function g(f(x)). We will insert the value of f(x) to the function g(x). We have

$g(f(x))=-3(3x^2+x-1)+5$

Simplifying the obtained algebraic expression above

$\begin{gathered} g(f(x))=-9x^2-3x+3+5 \\ g(f(x))=-9x^2-3x+8 \end{gathered}$

Hence, the answer to this problem is

$g(f(x))=-9x^2-3x+8$