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
Vlad [161]
3 years ago
7

Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.

Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

You might be interested in
Add 5.6 + (-3.2) + (-2.3) PLEASE HELP! This is very time sensitive, have a nice day!
Tpy6a [65]

Answer:

0.1

Step-by-step explanation:

Take paranthesis away.

5.6-3.2-2.3

subtract 3.2 from 5.6

2.4-2.3=0.1

Hope it helps1

3 0
3 years ago
Read 2 more answers
Lonna gave away 13/8 pie to her neighbor. Each pie was cut into 8 pieces. How many pieces of pie did lonna give to her neighbor
tankabanditka [31]

Answer:

13 pieces

Step-by-step explanation:

We are given that each pie was cut into 8 pieces .

therefore 1 pie is equal to 8 pieces

1 pie = 8 pieces

Lonna gave 13/8 pie to her neighbor .

So multiply both sides with 13/8 in the above equation in order to make the right side into 13/8 pie and to find the corresponding number of pieces .

1×\frac{13}{8} pie=8×\frac{13}{8} pieces

\frac{13}{8} pie = 13 pieces





4 0
3 years ago
Read 2 more answers
If each unit cube has edges 3/4 foot long, what is the volume of the blue-outlined prism?
denpristay [2]

Has someone answered this I need the answer...do u know it??

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Lin rode her bike 2 miles in 8 mins. She rode at constant speed. Complete the table to show the time it took travel different di
strojnjashka [21]

Answer:

4, 1

Step-by-step explanation:

If you take 2, 8 and make it a ratio you get 2 : 8.

Then you turn 2 : 8 into 1 : 4. That is your answer for a mile.

For the other answer, you want to divide 2 by 8.

(Hope this helps) :)  

8 0
3 years ago
A spinner is spun twice. it has a 3, 5, 7, & 9 on it. how many outcomes could produce a product greater than 21?
ad-work [718]

Answer:

A

Step-by-step explanation:

What numbers on both spins would create a PRODUCT GREATER THAN 21?

3 and 9

5 and 5

5 and 7

5 and 9

7 and 7

7 and 5

7 and 9

9 and 9

9 and 3

9 and 5

9 and 7

So, as we can see, we have 11 possibilities of getting a product GREATER than 21 (not 21...).

Correct answer A.

7 0
3 years ago
Other questions:
  • Factor completely. y^2+6y+8
    7·1 answer
  • How would adding a score of 0 to this data affect the mean and median game scores - i ready lesson ......Choice of measures of c
    15·1 answer
  • the letters of the word combine are placed at random in a row in how many ways can an arrangement occur such that all vowels are
    12·1 answer
  • Th SEDelco
    11·2 answers
  • A medical clinic asks all of its patients to complete a quick survey after each appointment. Patients are asked to rate their ex
    14·1 answer
  • The product of a number and six is eigth
    9·1 answer
  • Two collinear points are given in the table. Give a third point that is also on this line
    11·2 answers
  • What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
    11·1 answer
  • 11. Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500.
    15·2 answers
  • N his road trip, Leon stops to refuel and get some snacks. He has the following purchases:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!