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
Amanda [17]
4 years ago
14

In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g(x) = x - 5/2 to determine i

f f(x) and g(x) are inverses of each other.
Mathematics
1 answer:
Verizon [17]4 years ago
6 0
For any point (x, y), that appears in one function, the point (y, x) must appear in the other function. 
<span>For any point (x, y), that DOESN'T appear in one function, the point (y, x) must NOT appear in the other function. </span>
<span>So if you find any point that DOESN'T meet the above rules, you can prove that the functions are NOT inverses of each other. </span>

<span>But if you want to prove that they ARE inverses of each other, you have to check ALL points in the functions, and there are infinity of them, so that's not practical. Instead, you can write f(x) like this: </span>
<span>y = 3x - 5 </span>
<span>Now solve for x: </span>
<span>y + 5 = 3x </span>
<span>x = (y + 5) / 3 </span>
<span>Now swap x and y: </span>
<span>y = (x + 5) / 3 </span>
<span>This is the same as g(x). Therefore the functions are inverses of each other.</span>
You might be interested in
In the figure below, points L, J, M, N, and P lie in plane Z.
DiKsa [7]

Answer:

5865

Step-by-step explanation:

6 0
3 years ago
What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7
Tcecarenko [31]

Answer:

358 u literally just waited your time u could have used a calculator

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Translate this statement into an expression:
stiv31 [10]
I say D because sum is the total when you add and when it says less you go backwards ex.2 less than 3 this is how you write it 3-2
3 0
3 years ago
Which equation using x to represent time best represents the floor number of an elevator descending at a steady rate?
zepelin [54]
C. You'd be starting at a higher floor (positive number) and descending floors (negative number per x). If you assume x is time it's a little more logical and visual. 
5 0
3 years ago
Read 2 more answers
Tom wins at chess 180 times in every 250.Daisy wins three quarters of the time.Jacob wins 328 times in every 400?Work out who ha
zlopas [31]
Daisy bc if you add up 250 plus three quarters is 325
6 0
3 years ago
Read 2 more answers
Other questions:
  • Two angles of a triangle have the same measure and the third one is 36 degrees greater than the measure of each of the other two
    5·2 answers
  • In May Jim's lunch account has a balance of $58. in May Jim's lunch account has a balance of $58.19 If lunch cost $2.74 per day
    11·1 answer
  • The<br> length<br> of a sector = <br> 64/360x2 x 22/7x 14
    10·1 answer
  • 4y³-2(2y-3)+y written in standard form​
    9·1 answer
  • How many license plates can be made using either three digits followed by three uppercase english letters or three uppercase eng
    15·1 answer
  • Help 9th grade math i’ll give brainliest
    11·1 answer
  • If EG = 2u + 9 and EI = 5u - 48, find EI in parallelogram FGHI.
    12·1 answer
  • Write each function in standard form g(x) = 2(x + 6)2 – 11
    12·1 answer
  • Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common amon
    14·2 answers
  • Pls help<br> What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!