As with finding inverses of quadratic functions, it is sometimes desirable to find the
inverse of a rational function , particularly of rational functions that are the ratio of linear functions, such as in concentration applications.
Finding the inverse of a rational function
The function
represents the concentration
of an acid solution after
mL of 40% solution has been added to 100 mL of a 20% solution. First, find the inverse of the function; that is, find an expression for
in terms of
Then use your result to determine how much of the 40% solution should be added so that the final mixture is a 35% solution.
We first want the inverse of the function in order to determine how many mL we need for a given concentration. We will solve for
in terms of
Now evaluate this function at 35%, which is
We can conclude that 300 mL of the 40% solution should be added.
Evolution models refer to mathematical and computational representations of the processes involved in biological evolution. These models aim to simulate and understand how species change over time through mechanisms such as natural selection, genetic drift, and mutation. Evolutionary models can be u
faruk
what are the modern trends in religious behaviours
shared standards of acceptable behavior by the group or appropriate behavior in a particular institution or those behaviors that are acceptable in a society
Lucius
that is how i understood it
Lucius
examples of societal norms
Diamond
Discuss the characteristics of the research located within positivist and the interpretivist paradigm