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
Taya2010 [7]
3 years ago
15

What is f–1(8)?? Please select the best answer

Mathematics
2 answers:
notka56 [123]3 years ago
5 0

Answer:

f^{-1}(8)=\frac{3}{2}

Step-by-step explanation:

Given f(x)=2x+5

We have to find f^{-1}(8)

In order to find f^{-1}(x) we have to make x as the subject of the formula

Let us assume f(x)=y

⇒2x+5=y

Subtracting both sides by 5

2x+5-5=y-5

2x=y-5

Dividing both sides by 2

\frac{2x}{2}=\frac{y-5}{2}

⇒x=\frac{y-5}{2}

Now substituting y with x

we have f^{-1}(x)=\frac{x-5}{2}

Now f^{-1}(8)=\frac{8-5}{2}

=\frac{3}{2}

So option (ii) is correct


Lynna [10]3 years ago
3 0

Answer:

Choice B is correct answer.

Step-by-step explanation:

From question statement , we observe that

A function is given and we have to find inverse of this function. Then, we have to find the f⁻¹(8).

f(x) = 2x+5

put f(x) = y in above equation, we get

y = 2x+5

adding -5 to both sides of above equation,we get

y-5 = 2x+5-5

y-5 = 2x

dividing by 2 to both sides of equation,we get

y-5 / 2 = 2x/ 2

y-5 / 2 = x

swapping equation,we get

x = y-5 / 2

put f⁻¹(y) = x in above equation,we get

f⁻¹(y) = y-5 / 2

replace y with x in above equation

f⁻¹(x) = x-5 / 2

we have to find  f⁻¹(8) .

putting x = 8 in above equation,we get

f⁻¹(8) = 8-5/2

f⁻¹(8) = 3/2 which is the answer.

You might be interested in
3
emmainna [20.7K]

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

6 0
3 years ago
What are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee​
alisha [4.7K]
-1, 0, 1/2, 6, 9 hope that helps
7 0
2 years ago
What is the reason for each step in the solution of the equation?
user100 [1]

Answer in the attachment.

3 0
3 years ago
Help, adding extra text so that I can post this question
GREYUIT [131]
The answer 0.1, 0.136, 0.652, 0.87
8 0
3 years ago
Read 2 more answers
Sarah is a cliff driver she starts 75 feet above the water dives and dives to 20 feet below the water jada also starts at 75 fee
Murljashka [212]

Answer:

sarah=55ft Jada=58ft

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 153 of the 258 high school students surveyed at a local school said they went outside more during school hours as elementary sch
    11·1 answer
  • A person 5 ft tall casts a shadow 13ft long. At the same time a nearby tree casts a shadow 37 ft long. Find the height of the tr
    12·2 answers
  • The outboard engine on Steve's boat uses a fuel-to-oil mixture in a 50:1 ratio. If Steve puts 2.5 gallons of fuel in the tank, h
    7·1 answer
  • The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.5 in/s. at
    11·1 answer
  • Hexagon ABCDEF is a regular hexagon. Show that segments AE and ED are perpendicular.
    12·1 answer
  • Complete the number sentence <br> 342+453
    7·2 answers
  • The density of a fish tank is 0.2 fish/ feet cubic square. There are 8 fish in the tank. What is the volume of the tank?
    5·1 answer
  • HELP PLEASE THIS IS DUE TODAY
    7·1 answer
  • Please help jkjk but thanks you no need to answer free
    12·2 answers
  • Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and ca
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!