Question

Постройте график функции у= х-5 2х+9 ------ + ------- Х²-25 х+5

Answer 1

У=2, ото прямая параллельная оси
(х-5)/(х+5)(х-5)+(2х+9)/(х+5)=1/(х+5)+(2х+9)/(х+5)=(1+2х+9)/(х+5)=2(х+5)/(х+5)=2

Answer 2

Graph of the Function

To graph the function y = (x-5)/(x²-25), we can start by analyzing the equation and identifying any vertical asymptotes, horizontal asymptotes, x-intercepts, and y-intercepts.

The equation of the function can be rewritten as y = (x-5)/((x-5)(x+5)). We can see that there is a common factor of (x-5) in both the numerator and denominator, which means there is a vertical asymptote at x = 5.

To find the x-intercepts, we set y = 0 and solve for x. In this case, we have (x-5)/(x²-25) = 0. Since the numerator is zero when x = 5, the x-intercept is x = 5.

To find the y-intercept, we set x = 0 and solve for y. Plugging x = 0 into the equation, we have y = (0-5)/(0²-25) = -5/(-25) = 1/5. Therefore, the y-intercept is y = 1/5.

Now, let's plot these points on the graph.

- Vertical asymptote: x = 5 - X-intercept: (5, 0) - Y-intercept: (0, 1/5)

Please note that without further information, it is difficult to determine the shape of the graph or any other important features. If you have additional information or specific instructions, please let me know, and I'll be happy to assist you further.