The curve CCC is defined by the parametric equations
x=1t+3y=2t−1t+2t>0x = \frac{1}{t} + 3 \quad y = \frac{2t - 1}{t + 2} \quad t > 0x=t1+3y=t+22t−1t>0
Show that the equation of CCC can be written in the form y=g(x)y = g(x)y=g(x) where ggg is the function
g(x)=ax+bcx+dx>kg(x) = \frac{ax + b}{cx + d} \quad x > kg(x)=cx+dax+bx>k
where a,b,c,da, b, c, da,b,c,d and kkk are integers to be found.
Hence, or otherwise, state the range of ggg.
Practise Edexcel A Level Maths 8.1 Parametric Equations with exam-style questions for A Level Maths. 20 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.