For this case, the first thing we must do is observe that the graph has two asymptotes.
A horizontal asymptote or equivalently:
A vertical asymptote or equivalently:
Therefore, the domain and the range of the function is the same:
All reals excluding zero.
Answer:
The domain and range is the mime:
All reals excluding zero.
ANSWER
or
EXPLANATION
For
We make y the subject to obtain,
We can easily graph this function, because we just have to transform the graph of by shifting the intercept up to
.
As for the straight line, ,
We find the intercepts as follows,
When .
When .
We plot the points and
.
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
or
See graph
