Question

y=f(x)=ln{(a+x)÷(a-x)},a>0 and integer,determine domain and range of the function​

Answer 1

Answer:

Hope this answer will be helpful for you

Answer 2

Step-by-step explanation:

We know that log(x) is not defined for x less than equal to zero

means (x) must be positive.

$ln( \frac{a + x}{a - x} ) \\ here \: \: \: \\ a - x > 0 \\ x < a \\ hence \: \: domain \: \: be \: \: ( - \infin \: \: \: a) \\ \\ y = ln( \frac{a + x}{a - x} ) \\ \\ \frac{a + x}{a - x} = {e}^{y} \\ \\ using \: \: componendo \: \: and \: \: devedendo \\ \\ \frac{a}{x} = \frac{ {e}^{y} + 1}{ {e}^{y} - 1} \\ x = a( \frac{ {e}^{y} - 1}{{e}^{y} + 1 } ) \\ \\ \: \: \: \: hence \: \: \: range \: \: be \: \: a \: real \: \: number$