Question 0113

Equations and Inequalities
2013 Paper 1 Question 2 Variant

Question

It is given that
y=x2x+7x5,xR,x5.y = \frac{ x^2 - x + 7 }{ x - 5 }, \quad x \in \mathbb{R}, x \neq 5.
Without using a calculator, find the set of values that y{y} can take.
[5]

Answer