![katiewhitlock1014](/avatars/36777.jpg)
katiewhitlock1014
16.11.2019 •
Mathematics
If f(x) and g(x) are inverse functions of each other, which of the following statements is true?
a.) f(x) *divided by* g(x) = 1
b.) f(x) = -g(x)
c.) (f•g)(x) = 1 (• does not mean times, it means f of g)
d.) (g•f)(x) = x
Solved
Show answers
More tips
- C Computers and Internet What is the Meaning of lol and How Did it Become Popular?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- H Health and Medicine How to Help Men Gain Weight?...
- F Family and Home How to Build a Strong Relationship with Your Child: Tips for Effective Communication...
- L Legal consultation Juvenile Justice: Who Needs It?...
- F Food and Cooking What age is appropriate for giving your child cocoa?...
- A Animals and plants Why do cats go crazy over catnip?...
- H Health and Medicine How to Cure Adenoids?...
- S Science and Technology Why is there no gravity on other planets?...
- F Food and Cooking How to Properly Wash a Down Jacket? Tips from Experts...
Answers on questions: Mathematics
- M Mathematics Suppose that an automobile manufacturer advertises that its new hybrid car has a mean gas mileage of 50 miles per gallon. You take a simple random sample of 30...
- M Mathematics Solve the equation 10=4a 1. a=5/2 2.a=4/10 3.a=4...
- P Physics Tivo resistors are hooked up in parallel: 5 ohms and 10 ohms. Compare the voltage across and the current through the resistors. The 5 ohm resistor has the same current...
- M Mathematics ) Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of the relevant random...
- E English 4. Why does the author likely include references to Scripture in his speech? wn O A He includes references to Scripture to convince his audience of his innate goodness...
- S Social Studies Asymbol system in which words are used as labels for people, objects and ideas...
- B Business Business cycle refers to: a. a period of macroeconomic expansion followed by a period of contraction. c. a microeconomic explanation of the number of firms that...
Ответ:
(g•f)(x) = x.
Step-by-step explanation:
Let
, then the inverse function of the f(x) is ![g(x) = \sqrt{x - 1}](/tpl/images/0377/1039/1049e.png)
So, (g•f)(x) =![g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x](/tpl/images/0377/1039/a7776.png)
Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.
Hence, option D is correct. (Answer)
Ответ: