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
Sphinxa [80]
2 years ago
7

Determine whether each pair of functions are inverse functions. Write yes or no.

Mathematics
1 answer:
Tatiana [17]2 years ago
6 0

Answer: No

Step-by-step explanation:

There are two ways to solve this. The first way is to calculate g(f(x)) (or f(g(x))). If f and g are inverse functions f(g(x)) = g(f(x)) = x.

g(f(x)) = (1/4)(2sqrt(x - 5))^2 - 5

= (1/4)*2^2*sqrt(x - 5)^2 - 5

= (1/4)*4*(x - 5) - 5

= x - 5 - 5

= x - 10

g(f(x)) = x - 10 =/= x, so the two functions are not inverse functions.

You can also solve this by using a test value a and calculating g(f(a)). If f and g are inverse functions, the result will be a.

For example, let a = 6.

f(6) = 2*sqrt(6 - 5)

= 2*sqrt(1)

= 2*1

= 1

g(f(6)) = g(1)

= (1/4)*1^2 - 5

= (1/4)*1 - 5

= 1/4 - 5

= -4 3/4

=/= 6

Therefore f and g are not inverse functions

Please note that this technique does not work in the other direction. If g(f(a)) = a, this does NOT prove that f and g are inverse functions.

You might be interested in
Which number from the set (0,2,4,6) makes it true<br><br> 7x - 3 + 4x =19<br> PLsss I NEED IT NOW
Ira Lisetskai [31]
Just put these values in the place of x and solve!
The answer is 2 btw
7 0
2 years ago
Write down the inequality described by "half of x is no more than six", and solve it<br>​
Montano1993 [528]
X/.5 > 6
(the > has a line under it but idk how to type that lol)
5 0
2 years ago
A square residential lot is measured to be 100 feet on each side, with a possible
daser333 [38]
If I understood the question correctly, the answer would be 400
6 0
3 years ago
A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed
Lelu [443]

Answer:

8 chickens

Step-by-step explanation:

Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.

Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.

Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens

Hence, we can say that 8 chickens will produce 24eggs in 24 hours

7 0
2 years ago
Solve for x. Thank you.
Bas_tet [7]

Answer:

D) 50/3

Step-by-step explanation:

6/10 = 10/(6+x-6)

6/10 = 10/x

6x = 100

 x = 100/6

 x = 50/3

4 0
2 years ago
Other questions:
  • Solve the equation. Check your solution. <br><br> 2v + 7 = 3
    14·2 answers
  • Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino D
    10·1 answer
  • What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?<br>​
    13·2 answers
  • Given the equations of two lines. Determine if the lines are parallel, perpendicular or neither y=1/2x+7 and y= 2x + 3
    14·2 answers
  • Autumn creates bracelets as a hobby and is planning to start selling them online for $10 per bracelet. Autumn has already sold 5
    11·1 answer
  • Frank bought 2 CDs that were each the same price. Including sales tax, he paid a total of 24.20 Each CD had a tax of 0.60 What w
    10·1 answer
  • He volume of a rectangular prism with sides 3 ft, 4 ft, and h ft must be at least 36 cubic ft. Write and solve an inequality tha
    12·1 answer
  • Jonathan opened a savings account with $5500 and made no further
    11·2 answers
  • OMG PLEASE HELP HELP ME I NEED SO MUCH. HELP ME ON BOTH OF THEM PLEASE !!!
    8·1 answer
  • Add the quotient of 9 and 7 to d
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!