We are to find the value of
First we need to find the inverse of f(x) . The inverse of
Steps to find inverse of f(x) are shown below in the image.
So
Therefore, the correct answer is option C
Can someone please help me with number 2 thank you!
1 answer:
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We are to find the value of
First we need to find the inverse of f(x) . The inverse of
Steps to find inverse of f(x) are shown below in the image.
So
Therefore, the correct answer is option C
Answer:
The expression for the number of bacteria after t hours is
Step-by-step explanation:
When introduced into a nutrient broth, the culture grows at a rate proportional to its size.
This means that the size of the population, after t hours, is modeled by the following differential equation:
In which R is the growth rate.
The solution of this differential equation is:
In which P(0) is the initial population.
A culture of the bacterium Salmonella enteritidis initially contains 50 cells.
This means that , and so:
After 1.5 hours, the population has increased to 775.
This means that . We use this to find r. So
The expression is:
The expression for the number of bacteria after t hours is