![lkipjjjjjjjjjj2272](/avatars/21241.jpg)
lkipjjjjjjjjjj2272
23.06.2019 •
Mathematics
If f(x)=4x+3 and g(x)= the square root of x-9, which is true? 2 is in the domain of f of g or 2 is not in the domain of f of g?
Solved
Show answers
More tips
- S Science and Technology How to Restore the Diamond Shine to Your Tarnished Silverware...
- C Computers and Internet Boost your processor performance with these easy tips...
- L Leisure and Entertainment When will Maslenitsa start?...
- F Food and Cooking Discovering the Mysterious Fruit of Feijoa...
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
Answers on questions: Mathematics
- M Mathematics HELP ASAP Which equation is satisfied by all three of the plotted points?...
- M Mathematics Can someone pls help me quickkk...
- M Mathematics Choose the answer that represents the product below as a exponential expression. (-4).(-4).(-4).(-4).(-4).(-4) A. (-4)^6 B. (-4)^4 C. 6•(-4) D. (-6)^-4...
- M Mathematics 3. The price of gas is declining 2% each week. The price is currently $2.06 per gallon. When will the price be $1.90 per gallon?...
- M Mathematics Determina el término general de la sucesión 1, 4, 7, 10, ......
- M Mathematics Which of the following is an equation of a line perpendicular to the equation y=-2/3x-4?...
- M Mathematics Find the sum. b/ b^2+4b+4 + 9/b^2+7b+10...
- M Mathematics A movie theatre has 14 different movies showing. if you want to attend no more than 3 of the movies. how many different combinations of movies can you attend?...
- M Mathematics X2 - 1 is a factor of x3 + ax2 x + b. When the expression is divided by x 2, the remainder is 15. a and b. ...
- M Mathematics Next Quadratic Relationships 2 Type the correct answer in each box. Use numerals instead of words. The length of a rectangular soccer field is 40 feet more than twice...
Ответ:
2 is not in the domain of f of g
Step-by-step explanation:
* Lets revise at first the meaning of f of g (composite function)
- A composite function is a function that depends on another function
- A composite function is created when one function is substituted into
another function
- Example:
# f(g(x)) is the composite function that is formed when g(x) is
substituted for x in f(x).
- In the composition (f ο g)(x), the domain of f becomes g(x)
* Now lets solve the problem
∵ f(x) = 4x + 3
∵ g(x) = √(x - 9)
- Lets find f(g(x)), by replacing x in f by g(x)
∴ f(g(x)) = f(√(x - 9)) = 4[√(x - 9)] + 3
∴ f(g(x)) = 4√(x - 9) + 3
∵ The domain of f is g(x)
- The domain of the function is the values of x which make the
function defined
∵ There is no square root for negative values
∴ x - 9 must be greater than or equal zero
∵ x - 9 ≥ 0 ⇒ add 9 for both sides
∴ x ≥ 9
∴ The domain of f of g is all the real numbers greater than or equal 9
∴ The domain = {x I x ≥ 9}
∵ 2 is smaller than 9
∴ 2 is not in the domain of f of g
Ответ:
c.6cm
Step-by-step explanation:
baka makatulong