Given:
To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and
We have,
Now,
Similarly,
Since, and
, therefore, f(x) and g(x) are inverse of each other.
Answer:
Step-by-step explanation:
Let,
Now, us simplify the given differential equation and write it in terms of D,
or,
or,
We have our auxiliary equation:
or,
or,
Therefore our solution is,
and,
Applying the boundary conditions, we get,
Solving them gives us,
Hence,
The ratio 9:7 gives you following statement:
Then the probability that Carl will lose is
Answer:
Answer:
Step-by-step explanation:
When you have something like that, just think that the first number goes on top and the second number goes on bottom.