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
melomori [17]
3 years ago
15

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

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

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

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

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

Changing "x" by "f^(-1) (x)" and "y" by "x":

f^(-1) (x) = (1/2)x-1/2

You might be interested in
You deposit $365
777dan777 [17]
$365 increased to $428
365/428=1.17
which translates to an 117% increase

5 0
3 years ago
The red shape has been translated into the blue shape. The translation is
MAXImum [283]
Answer is (A). (X’ , Y’) = (x, y-6)
7 0
3 years ago
Help if you understand please and thanks
wlad13 [49]

Answer:

y = 4

Step-by-step explanation:

because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four

6 0
2 years ago
What is the square root of -1
Zinaida [17]

Answer:

i

Step-by-step explanation:

square root of -1 is i

6 0
3 years ago
Read 2 more answers
Please help!!!!!!! I only have 20 minutes left!!
slavikrds [6]

Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

5 0
2 years ago
Other questions:
  • The probability that Terri will draw a heart and then a red face card from a standard 52-card deck is . Using this probability,
    15·1 answer
  • Given that t 8 = 60 and t 12 = 48, find the 45th term of the arithmetic sequence.
    10·1 answer
  • The sum of a number and 4​
    15·1 answer
  • In the diagram which two angles must be supplementary with angle 6? A.5 and 7 B. 1 and 10 C.14 and 16 D.7 and 11
    9·2 answers
  • 4/5×10 please tell me the answer
    12·2 answers
  • How to solve<br>3|8x|+8=80
    11·1 answer
  • What round number is previous to 28?
    14·1 answer
  • Area = ???????????????
    14·1 answer
  • Simplify completely 3x∧4 + 5x∧2 + 2x
    12·1 answer
  • Evan takes 15.5 minutes to walk 1 mile.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!