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
ANEK [815]
2 years ago
14

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

Mathematics
2 answers:
timama [110]2 years ago
5 0

Answer:

  (a)  h(x) = 1/2x -1/2

Step-by-step explanation:

The inverse of the function y = f(x) is found by solving x = f(y).

__

<h3>setup</h3>

  x = f(y)

  x = 2y +1 . . . . . . use the definition of f(x)

<h3>solution</h3>

  x -1 = 2y . . . . . subtract 1

  (x -1)/2 = y . . . . divide by 2

  y = 1/2x -1/2 . . . . eliminate parentheses

  h(x) = 1/2x -1/2 . . . write in functional form

The inverse of f(x) = 2x+1 is ...

  h(x) = 1/2x -1/2

olya-2409 [2.1K]2 years ago
5 0

Step-by-step explanation:

for the inverse function we simply try to turn y and x around, and find the equation that calculates x out of y instead of y out of x.

remember,

f(x) = y

so, we have

y = 2x + 1

y - 1 = 2x

x = y/2 - 1/2

now we just rename x to y and y to x to make this a "normal" function :

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

so, the first answer option is correct.

You might be interested in
Will give Brainliest What is the length of the hypotenuse of the triangle when x=13 7x+7 3x
Semmy [17]

Answer:

Jfjfjfjfhfhchxhhxxjjxxjxjxhxjxkxjx

5 0
3 years ago
Which of the following is a solution of y - x &lt; -3?<br><br> (6, 2)<br> (2, 6)<br> (2, -1)
Snowcat [4.5K]
Personally I'd solve this inequality for y first:  y < x-3.

That immediately eliminates (6,2) and (2,6).

Starting from y < x-3 and letting 2 sub for x and -1 sub for y, is the following true or false?

-1 < 2 -3     NO.  -1 < -1 is false.  Was there a fourth answer choice?

5 0
3 years ago
Read 2 more answers
X+8=17 what is the value of x makes the sentece true​
melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

17 = 17

7 0
3 years ago
What is the distance between the points (–4, 2) and (3, –5)?
Tanya [424]

Answer:

4 units

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
About Integral-Volume of a Sphere. Could you help me,please?
hjlf

Answer:

check the answer

Step-by-step explanation:

find the answer in the attached file

5 0
3 years ago
Other questions:
  • Hannah and anthony are siblings who have ages that are consecutive odd integers. The sum of there ages is 92. Which equations co
    5·1 answer
  • Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
    6·1 answer
  • three-quarters of students are wearing the school's colors. if there are 300 students how many are wearing the colors?
    10·1 answer
  • Please help!! I need to find the proportion of the missing measure!
    8·1 answer
  • Wes is pouring himself some ketchup to eat with his potato wedges. is it reasonable to say that wes will need 2 fluid ounces
    12·1 answer
  • 3(2.7+5)−2 what is the answer
    6·1 answer
  • #1 with work please
    10·2 answers
  • Could someone plz just answer this now?
    8·1 answer
  • Find a, b, and c.
    9·1 answer
  • 20a-16=12(3-a), then a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!