Suppose we choose
and
. Then
Now suppose we choose
such that
where we pick the solution for this system such that
. Then we find
Note that you can always find a solution to the system above that satisfies
as long as
. What this means is that you can always find the value of
as a (constant) function of
.
Time = Distance / speed
Time = 20 miles / 12mph
Time = 1 and 2/3 hours ( 1 hour and 40 minutes)
Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
Suppose we choose a path along the
-axis, so that
:
On the other hand, let's consider an arbitrary line through the origin,
:
The value of the limit then depends on
, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
