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
Rashid [163]
3 years ago
5

The function f(x) = 9x +5 is one-to-one. Find an equation for f-'(x), the inverse function.

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

The inverse function is f^{-1}(x) = \frac{x - 5}{9}

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

y = 9x + 5

Exchanging x and y:

x = 9y + 5

Isolating y:

9y = x - 5

y = \frac{x - 5}{9}

f^{-1}(x) = \frac{x - 5}{9}

The inverse function is f^{-1}(x) = \frac{x - 5}{9}

You might be interested in
The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000

</span>
7 0
3 years ago
Solve x2 + 12 = -11 by completing the square.which is the solution set of the equation
Ivan

Answer:

the answer to the question is -1

6 0
3 years ago
2(4+2x)≥5x+5 solve inequality
valkas [14]

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x ≤ 3

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!
Talja [164]

Answer:

100

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
TELL ME HOW YOU KNOW. Does the graph show a function
Leviafan [203]

Answer: yesss  its linear too

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Find the selling price of a $270 bicycle with a 24% markup
    11·1 answer
  • During the course of a 2,185 mile trip, the Archetti's used 5 full tanks of gasoline. The gas tank of their car holds 23 gallons
    9·1 answer
  • Write the pair of fractions as a pair of fractions with a common denominator 2/4 and 7/8
    13·1 answer
  • For 0 less than or equal to theta less than 2(pi), what are thebsolutions to sin↑2(theta)=2(sin↑2)(theta/2)? ​
    12·1 answer
  • By visual inspection, determine the best-fitting regression model for the
    15·1 answer
  • Help with 1 and 3 please........
    15·1 answer
  • Write a mixed number that is equivalent to 16 3​
    5·2 answers
  • What is the distance between-10 and 17
    15·1 answer
  • Simplify and state the excluded values.<br> 126 -40
    14·1 answer
  • HELP ME PLEASE! QUESTION IS IN LINK
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!