Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x29x+4x+4,xR,x4.y = \frac{ x^2 - 9 x + 4 }{ x + 4 }, \quad x \in \mathbb{R}, x \neq -4.
Without using a calculator, find the set of values that y{y} cannot take.
[5]

Answer