1.5.14 Convert between cartesian and parametric forms (A-level only)

The curve $C$ is defined by the parametric equations

\frac{1}{t} + 3 \quad y = \frac{2t - 1}{t + 2} \quad t > 0

Show that the equation of $C$ can be written in the form $y = g (x)$ where $g$ is the function

\frac{ax + b}{cx + d} \quad x > k

where $a, b, c, d$ and $k$ are integers to be found.

[5]

Hence, or otherwise, state the range of $g$ .

[3]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

The curve $C$ is defined by the parametric equations

\frac{1}{t} + 3 \quad y = \frac{2t - 1}{t + 2} \quad t > 0

Show that the equation of $C$ can be written in the form $y = g (x)$ where $g$ is the function

\frac{ax + b}{cx + d} \quad x > k

where $a, b, c, d$ and $k$ are integers to be found.

[5]

Hence, or otherwise, state the range of $g$ .

[3]