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
Hunter-Best [27]
3 years ago
9

What is the inverse of the function f(x) = 2x + 1?

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

h(x)=\frac{x}{2}-\frac{1}{2}

Step-by-step explanation:

Hello

Step1

Let f(x)=y

f(x) = 2x + 1

(1)y= 2x + 1  

to find the inverse of f(x)

Replace every x with a y and replace every y with an x

y= 2x + 1

replacing  

x=2y+1

Step 2

Now solve the equation for y

x=2y+1

subtract 1 on both sides

x-1=2y+1-1

x-1=2y

divide boths dies by 2

(x-1)/2=2y/y

\frac{x-1}{2} =\frac{2y}{2} \\y=\frac{x-1}{2}

let this last equation h(x)= inverse of f(x)

h(x)=\frac{x-1}{2}\\h(x)=\frac{x}{2}-\frac{1}{2}

Have a great day

spin [16.1K]3 years ago
6 0
h(x) = (x-1 ) /2 ...........
You might be interested in
What is the slope of the line that passes through the points (4, 9) and (1, 6)?
Aleksandr [31]

a = ( 1 , 6 )

b = ( 4 , 9 )

slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

Now just need to put the coordinates in the above equation :

slope =  \frac{9 - 6}{4 - 1} \\

slope =  \frac{3}{3} \\

slope = 1

And we're done...♥️♥️♥️♥️♥️

5 0
3 years ago
Move each shape to the box that shows the correct number of lines of symmetry.
Marrrta [24]

Answer:

You have box 0 correct. The arrow goes in box 1. The square goes in box 4. And the rectangle goes in box 2.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You need to split it in half then multply then add
sleet_krkn [62]

Answer:

I'm pretty sure it's 97

Step-by-step explanation:

I made three shapes 2 rectangle and 1 triangle

7 0
3 years ago
Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5
Volgvan

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

8 0
3 years ago
Read 2 more answers
I NEED HELPPPPPP!!!!<br><br> √−100 =___+___i
AURORKA [14]

Answer:

0+10i

Step-by-step explanation:

sqrt(-100)

sqrt(-1) * sqrt(100)

The sqrt(-1) = i

i ( 10)

There is no real component and the imaginary part is 10

0 + 10i

5 0
3 years ago
Other questions:
  • there are 28 students in a mathematics class. if 1/4 of the students are called to the guidance office,1/3 of the remaining stud
    7·2 answers
  • Giving out Brainliest! The formula for an object's final velocity is f=i−gt.<br><br> Solve for t.
    12·2 answers
  • The length of a rectangle 1.6 times longer with the sum of width and length being 130 feet
    9·2 answers
  • What is -5 1/3 - 2 1/3 ?
    6·1 answer
  • Oil is often measured in barrels one barrel can hold the 42 gallons of oil how many gallons of oil can 7 barrels hold
    9·1 answer
  • The velocity of a turtle is recorded at 1 minute intervals (in meters per second). Use the right-endpoint approximation to estim
    11·1 answer
  • What is greater 5.3 or 5.30
    11·2 answers
  • Here are the first four terms of a number sequence.
    15·1 answer
  • A 215​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
    5·1 answer
  • Classify the following triangle.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!