The curve C C\,C has parametric equations
x=2t+1t+2\displaystyle x = \frac{2t + 1}{t + 2}x=t+22t+1, y=4t−1t+2\displaystyle y = \frac{4t - 1}{t + 2}y=t+24t−1, where t≥0t \geq 0t≥0
Show that C C\,C is part of a straight line.
Show that the xxx-coordinate of every point on C C\,C satisfies 12≤x<2\displaystyle \frac{1}{2} \leq x < 221≤x<2.