Composite functions are useful when one quantity depends on a second quantity, and in turn that second quantity depends on a third quantity. This is an extremely general situation with lots of real-world applications.
2. The amount of time it takes to get to work depends on how much traffic there is, and the amount of traffic there is depends on what time of day it is. If we call the amount of traffic C and the time of day t, then C is a function of t. If we call the time it takes to get to work W, then W is a function of C. Provide an example of a composite function using these variables.
3. Make up your own example of a composite function. Be sure to explain (1) what your variables are, (2) how they are represented in the function, and (3) which elementary functions are combined to form the composite function.© BrainMass Inc. brainmass.com October 25, 2018, 8:24 am ad1c9bdddf
1. Suppost A(t) is the function of your age, so A(t)=2013-t where 2013 is the current year and t is your birth year. Since life insurance depends on your age and let C be a function of life ...
The usefulness of composite functions are determined. Extremely general situations with lots of real-world applications are provided.
Algebra - Inverses, Domains and Composition of Functions
Use a calculator (standard scientific calculator or an online graphing calculator) to find each of the following numerical values. Write your answer rounded to 2 decimal places (i.e., the nearest hundredth).
(a) 4 -1.2
(b) e 5.76
Use composition of functions to show that the functions f(x) = 5x - 2 and are inverse functions. That is, show that and show that .
Suppose y varies inversely as x and y = 0.3 when x = 10
(a) Find the variation constant and an equation of variation.
(b) Use your results from (a) to help find y when .
(a) Find the inverse function of f. Show work.
(b) State the domain of f. State the domain of the inverse function.View Full Posting Details