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
s344n2d4d5 [400]
3 years ago
15

Someone help me understand

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

f¯¹(x) = 23/ (6x + 3)

Step-by-step explanation:

f(x) = (23 – 3x)/6x

The inverse, f¯¹, for the above function can be obtained as follow:

f(x) = (23 – 3x)/6x

Let y be equal to f(x)

Therefore, f(x) = (23 – 3x)/6x will be written as:

y = (23 – 3x)/6x

Next, interchange x and y.

This is illustrated below:

y = (23 – 3x)/6x

x = (23 – 3y)/6y

Next, make y the subject of the above expression. This is illustrated below:

x = (23 – 3y)/6y

Cross multiply

6xy = 23 – 3y

Collect like terms

6xy + 3y = 23

Factorise

y(6x + 3) = 23

Divide both side by (6x + 3)

y = 23/ (6x + 3)

Finally, replace y with f¯¹(x)

y = 23/ (6x + 3)

f¯¹(x) = 23/ (6x + 3)

Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is

f¯¹(x) = 23/ (6x + 3)

You might be interested in
rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=
denis-greek [22]
4 6/9= 38/9   
7 5/3= 26/3
3 7/8= 31/8
5 19/14 =89/14

5 0
3 years ago
Find the volume of the cube 1/3 km 1/3 km 1/3 km
guapka [62]

Answer:

  • The volume of cube=1/27 km^3

Step-by-step explanation:

As The volume of cube =the cube(^3) of the sides.

7 0
3 years ago
Meg is going to a birthday party at 6 p.m. She gets home from school at 3 p.m. It will take her 1 hour to do her homework, 30 mi
Gwar [14]
She would have about 30 minutes of extra time
5 0
3 years ago
Read 2 more answers
Generate a number that has a digit in the hundred thousand place that is 10 times the digit in the ten thousands place.
baherus [9]

Answer:

1000000

ten thousands place : 0

hundred thousands place : 10 x 0 = 0

3 0
3 years ago
If the triangle ABC=JKL<br> and <br> ACB=12,KL=6cm,and AC=8.5cm<br> what is BC
Illusion [34]
BC is equal to KL so there for BC is 6 cm
5 0
3 years ago
Other questions:
  • José drives 65 miles per hour when he travels.sherry drives 450 miles in 9 hours which driver has a faster rate of changes
    11·2 answers
  • The​ world's largest university​ (by enrollment) is University​ A, followed by University B. If the enrollment in University A i
    13·1 answer
  • The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.
    12·1 answer
  • Find the slope of the line that passes through the points (1, 1) and (7, 5).
    9·2 answers
  • Find the slope for numbers 1-6
    14·1 answer
  • Find two numbers that have a sum of 13 and a product of -14
    9·2 answers
  • 1. Simplify using the distributive property: 2(3x + x)
    14·2 answers
  • Write in standard form<br> 61500
    12·1 answer
  • Solve for missing angle.​
    10·1 answer
  • Please help. Solve for Z?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!