Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x25x8x+4,xR,x4.y = \frac{ x^2 - 5 x - 8 }{ x + 4 }, \quad x \in \mathbb{R}, x \neq -4.
Without using a calculator, find the set of values that y{y} can take.
[5]

Answer