Mathematics 9709 · AS & A Level · Functions

Functions — practice question

(a)[2]

Write $x^2 + 4x + 2$ in the form $(x + a)^2 + b$, where $a$ and $b$ are integers.

(b(i))[3]

Find an expression for $f^{-1}(x)$.

(b(ii))[4]

Find an expression for $(gf)^{-1}(x)$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The completed square form is $(x+2)^2$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI