1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Xelga [282]
2 years ago
6

Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.

Mathematics
1 answer:
aliina [53]2 years ago
4 0

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

You might be interested in
A game uses the two spinners shown in the image. What is the probability that you will spin "East" and "1"
PtichkaEL [24]
1/32 because 1/4 is the probability for the first one and then 1/8 for the next one. 4 times 8 = 32  so there is a 1 in 32 chance   
7 0
3 years ago
Read 2 more answers
The tabel shows the amount of miles of Cheryl travels 4 each day.About how many miles did she travel during the 4 days?
OLga [1]
4 times 4=16 So in four days, Cheyrl traveled 16 miles.
8 0
3 years ago
(06.04)
otez555 [7]

Answer:

5x/3y2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y=3x−4<br> y=−12x+3<br> solution <br> solve by graphing
Anna11 [10]

Answer:

(7/15,−13/5)

Equation Form:

x=7/15,y=−13/5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
2 years ago
Gabriel uses 0.4 gallon of gasoline each hour mowing lawns. How much gas does he use in 4.2 hours
Sveta_85 [38]
0.4 gallons * 4.2 hours = 1.68 gallons

Gabriel uses 1.68 gallons in 4.2 hours.
3 0
3 years ago
Other questions:
  • Sooooooo what While scuba diving, Rajeev dove to a depth of 12.6 feet below the surface of the water and then descended another
    14·1 answer
  • A cable installer charges $42.50 per hour plus a $45.00 service charge your father firms hires him to hook up his company find t
    10·1 answer
  • Please Answer Brainliest and 100 PTS!!!
    12·1 answer
  • The formula c = 5p + 200 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of
    12·2 answers
  • Katie is making a package to send to her grandmother. The candy she wants to mail weighs 3/4 of a pound. The letter she wrote we
    14·1 answer
  • Which equation is a point slope form equation for line AB ?
    9·1 answer
  • Suppose A ={2, 5, 7, 9, 13, 25, 26}. True or False: <br><br> {1,2,3}⊆A
    7·1 answer
  • Help asap plz, shhdhdhdhshdhdn
    9·1 answer
  • Please help I have no clue what this is I give brainly :)
    5·1 answer
  • If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!