Visitor

2016-08-09 08:43:21

#1

We have the function *f*:**R**{2} - > **R**, *f*(x) = (x + 4) / (2 - x)

Where the function intersects the axis Ox and Oy?

Where is the point of intersection between f graph and the line bisector y = x ?

Where the function intersects the axis Ox and Oy?

Where is the point of intersection between f graph and the line bisector y = x ?

Visitor

2016-08-09 09:09:06

#2

We have to solve these two equations:

f(x) = 0, and

y = f(0)

So, first

so though, (-4, 0) is the point where the graph meet the axis Ox.

and the second

so though, (0,2) is the point where the graph meet Oy axis

f(x) = 0, and

y = f(0)

So, first

so though, (-4, 0) is the point where the graph meet the axis Ox.

and the second

so though, (0,2) is the point where the graph meet Oy axis

Visitor

2016-08-12 05:29:30

#3

For the intersection with the line *y* = *x*, we have to solve the equation *f*(*x*) = *x*. So though, we have

Further, we have

So though, the equation has no real solutions.

Finally, the*f* graph doesn't intersects the line y = x.

Further, we have

So though, the equation has no real solutions.

Finally, the

It is not mandatory to be logged in on this forum but it is nice to have an account. You can ask about mathematics just with your name and your email.

This maths forum is one of the easiest forums to use it.