Algebra - Inverses, Domains and Composition of Functions
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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 .
Let
(a) Find the inverse function of f. Show work.
(b) State the domain of f. State the domain of the inverse function.
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The expert examines inverses, domains and compositions of functions. A complete, neat and step-by-step solution is provided in the attached file.
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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 = 0.19
(b) e 5.76 = 317.35
Use composition of functions to show that the functions f(x) = 5x - 2 and are inverse functions. That is, show that and show that .
fog(x) = f(g(x)) = ...
Purchase this Solution
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