Question

Найти область определения функции y= -6/x-1

Answer 1

у=-6/х-1

х-1>0

х>1

Ответ: область определения функции - (1;+бесконечность).

Answer 2

To find the domain of the function $y = \dfrac{-6}{x-1}$, we need to determine the values of $x$ for which the function is defined.

The function is defined for all $x$ except the ones that make the denominator equal to zero. Remember that division by zero is undefined in mathematics.

So, to find the domain, we set the denominator $x - 1$ equal to zero and solve for $x$:

$x - 1 = 0$

Adding 1 to both sides:

$x = 1$

The function is not defined for $x = 1$ because it would lead to division by zero. Therefore, the domain of the function is all real numbers except $x = 1$.

In interval notation, the domain of the function is $(- \infty, 1) \cup (1, \infty)$. This means the function is defined for all real numbers except $x = 1$.