Question

F(x)=3x-x^2/x-3,x→3 помоги

Answer 1

Решение во вложении.Удачи.

Answer 2

To find the value of the function $F(x) = \frac{3x - x^2}{x - 3}$ as $x$ approaches 3, we can directly substitute $x = 3$ into the expression and see what the result is.

Let's substitute $x = 3$ into the function:

$F(3) = \frac{3 \cdot 3 - 3^2}{3 - 3}$

Now, note that we have a division by zero in the denominator, which makes the expression undefined. This is because when $x$ approaches 3, the denominator becomes zero, and division by zero is not allowed in mathematics.

Thus, the function $F(x)$ is undefined when $x = 3$. It may have a vertical asymptote at $x = 3$ due to the division by zero.