Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x2+2x+2x1,xR,x1.y = \frac{ x^2 + 2 x + 2 }{ x - 1 }, \quad x \in \mathbb{R}, x \neq 1.
Without using a calculator, find the set of values that y{y} can take.
[5]

Answer