Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x27x7x+1,xR,x1.y = \frac{ x^2 - 7 x - 7 }{ x + 1 }, \quad x \in \mathbb{R}, x \neq -1.
Without using a calculator, find the set of values that y{y} cannot take.
[5]

Answer