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
Elis [28]
2 years ago
15

Which is the inverse of the function f (x) = 1/4x + 1/2

Mathematics
1 answer:
kiruha [24]2 years ago
7 0

Answer:

f⁻¹(x) = 4x - 2

Step-by-step explanation:

To find the inverse of a function, switch the places of x and y (or f(x)).

f(x) = 1/4x + 1/2 → y = 1/4x + 1/2

Switch the variables.

x = 1/4y + 1/2

Now you want to convert the equation back into y = mx + b form.

x = 1/4y + 1/2

Subtract 1/2 from both sides.

x - 1/2 = 1/4y

Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).

4(x - 1/2) = y

Distribute the 4.

4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2

This is the inverse of your given function.

You might be interested in
On october 1, 2016, dew company places a new asset into service. the cost of the asset is $80,000 with an estimated eight-year l
Lelu [443]
<span>The annual depreciation expense is $9,000, calculated as follows Cost of the asset is $80,000 less $8,000 salvage value which reduces the cost to $72,000. Useful life is 8 years. To determine annual depreciation expense using straight-line method, divide asset cost of $72,000 by 8 years of useful life equals $9,000 per year.</span>
6 0
3 years ago
How can you apply the distributive property to factor out the greatest common factor for 40j - 16 = ?
Ronch [10]
The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16 
6 0
3 years ago
Help pleaseeeeeee quickly
shusha [124]

The first sentence in the chart belongs to the subjunctive mood, while the other sentences can be classified as part of the conditional mood.

<h3>What is a verb mood?</h3>

In language, the verb mood indicates the attitude of the speaker, and therefore, it provides clues about the way language is used. For example, the imperative mode indicates an order is being given.

<h3>What is the difference between the conditional and the subjunctive mood?</h3>
  • Subjunctive: It is used for expressing wishes; due to this, it is common to find the use of words such as "wish".
  • Conditional: It expresses a condition or a situation that will/can happen if another situation occurs. This can be identified due to the use of "if".

Based on this, the first sentences belongs to the subjunctive mood, while the other sentences are part of the conditional.

Learn more about the subjunctive in: brainly.com/question/22728240

#SPJ1

6 0
1 year ago
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Tom [10]
The answer is 48/5 (9.6)
5 0
2 years ago
B
kirill [66]

Answer:

B =116°

D = 116°

Step-by-step explanation:

one set of opposite angles of a kite equal

7 0
2 years ago
Other questions:
  • Three friends were born in consecutive years. The sum of their birth year is 6,039. Find the year in which the youngest person w
    8·1 answer
  • Abcd is a quadrilateral. three of the angles of abcd measure 100°, 87°, and 106°, respectively. find the measure of the missing
    12·1 answer
  • I WILL MAKE BRAINLIEST PLEASE HELP!!!!!!
    14·1 answer
  • Please help me with this math question​
    15·1 answer
  • There were 400 sweets in a pack. The principal of a school bought 25 such packs of sweets for 2000 children o Children's Day. If
    12·2 answers
  • 8 - 2x + 4 + 8x – 21
    6·2 answers
  • A³+b³+c³-3abc is = ____​
    11·1 answer
  • Using the diagram below, determine the value of x, y, and z.
    13·1 answer
  • 2 1/3 divied by 2/4 help qwq
    9·2 answers
  • Multiply:<br>(x+y)by (x+y)<br>a+b by a^2-b^2<br>(a+5) by (a^2-2a-3)<br>(a^2-ab+b^3) by (a+b)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!