Question

3x-9/x²-x-6domain and range function​

Answer 1

Answer:

$\frac{3x - 9}{ {x}^{2} - x - 6 } \\ = \frac{3x - 9}{(x - 3)(x + 2)} \\ so \: domain \: is \: x \: can \: take \: all \: rea l \: values \: except \: 3 \: and \: = 2. \\ \\ let \: y \: = \frac{3(x - 3)}{(x - 3)(x + 2)} \\ y = \frac{3}{x + 2} \\ so \: x + 2 = \frac{3}{y} \\ x = \frac{3}{y} - 2 \\ x = \frac{3 - 2y}{y} \\so \: range \: is\: all \: real \: numbers \: except \: 0$

Domain = R - {3, -2}

Range = R - {0}