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
A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before
sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}

Where:

y=0 m is the blueberry pie final height (when it hits the ground)

y_{o}=6 m is the blueberry pie initial height

V_{o}=60 m/s is the blueberry pie initial velocity

\theta=0 \° is the angle, assuming the pie was shot horizontally

t is the time

g=9.8 m/s^{2} is the acceleration due gravity

Rewriting the equation:

0=y_{o}-\frac{1}{2}gt^{2}

Isolating t:

t=\sqrt{\frac{2y_{o}}{g}}

t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}

Finally:

t=1.106 s

5 0
3 years ago
CAN SOMEONE HELP ME WITH THIS PROBLEM????????????????????
Phantasy [73]

Answer:

<em>Hi there!</em>

<u><em>For 1. it should be answer b</em></u>

<u><em>For 2. it would be answer c</em></u>

<u><em>For 3. it is answer a</em></u>

<em>Hope I Helped!</em>

6 0
3 years ago
On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation.
Julli [10]

ANSWER

( -  \frac{3}{2} , - 1)

EXPLANATION

From the graph, the coordinates of Y are:

(3,2)

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.

The rule for the dilation is :

(x,y)\to( - \frac{1}{2}  x, -  \frac{1}{2} y)

To find the coordinates of Y', we plug the coordinates of Y.

Y(3,2)\to \: Y'( - \frac{1}{2}  (3), -  \frac{1}{2}(2) )

Y(3,2)\to \: Y'( - \frac{3}{2}, - 1)

The first choice is correct.

6 0
3 years ago
1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method
solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\rm y  = \dfrac{-3}{2} (x)\\\\y = -1.5x

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\rm y = \dfrac{2}{3} x + c

Then this line also passes through a point (2, -3). Then the value of c will be

\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \  = -13

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0
2 years ago
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Darina [25.2K]

Answer:

Slope-Intercept form: y=x+3

Step-by-step explanation:

The Slope-Intercept form is y=mx+b

You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula m=\frac{y_2-y_1}{x_2-x_1}. You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.

7 0
3 years ago
Other questions:
  • How many 8 inch square tiles will it take to cover a rectangular kitchen floor that is 8 feet wide and 10 feet long?
    12·1 answer
  • The function g is defined by g(x)=ax−7, where a is a constant. Find a, if the graph of g passes through the point ( 1/3,−2).
    13·1 answer
  • Answer before 1:00 i will mark you brainliest
    15·1 answer
  • The cost of a renting premises is 90% of the total costs of a company. The rental price was reduced 6 times, ceteris parabus. Wh
    6·1 answer
  • The ticket price for the hockey match was 14.50. The price has increased by 7%. How much is a ticket after the increase
    6·1 answer
  • Tanya is a professional shopper and is always looking for the better deal. She was looking to purchase a new television and foun
    5·2 answers
  • Help me please thanks
    15·1 answer
  • Sorry about the picture quality on this app for pics just isn’t it for me lol <br><br> (NO LINKS)
    5·2 answers
  • Need help with the answer it’s confusing
    6·1 answer
  • Question 1 of 15
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!