What is this rational function?
2 answers:
9514 1404 393
Answer:
f(x) = (x^2+2)/(x-1)
Step-by-step explanation:
In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.
One such could be ...
f(x) = (x^2 +2)/(x -1)
__
The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.
You might be interested in
Answer:
No, it isn't.
Step-by-step explanation:
We have and let
be the subset of
of all points on the line
We need to find if is a subspace of the vector space
.
In all the possibilities for own subspace of the vector space
are :
itself.
- The vector
- All lines in
)
We know that is the subset of
of all points on the line
If we look at the equation, the point doesn't verify it because :
Which is an absurd. Therefore, doesn't contain the origin (and
is a line in
). Finally, it can't be a vector space of