Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x25x+2x6,xR,x6.y = \frac{ x^2 - 5 x + 2 }{ x - 6 }, \quad x \in \mathbb{R}, x \neq 6.
Without using a calculator, find the set of values that y{y} cannot take.
[5]

Answer