1answer.
Меню
Ask question
Login
Signup
Ask question
Menu
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
ollegr
[7]
3 years ago
11
How do I show that this function is one-to-one algebraically?
B3%7D%20%2B8" id="TexFormula1" title="f(x)= (x-2)^{3} +8" alt="f(x)= (x-2)^{3} +8" align="absmiddle" class="latex-formula">
Mathematics
Answer
Comment
Send
1
answer:
Gwar
[14]
3 years ago
6
0
For a one-to-one function, f(x) = f(y).
So, lets find f(x) and f(y).
We know,
f(x) = (x - 2)³ + 8
Now,
f(y) = (y - 2)³ + 8
Now, we said earlier, for a function to be one-to-one, f(x) = f(y).
Therefore,
f(x) = f(y)
(x - 2)³ + 8 = (y - 2)³ + 8
(x - 2)³ = (y - 2)³
x - 2 = y - 2
x = y
Since we got x = y, we know for every x, there is one and only one y. Therefore, the function is one-to-one function.
Send
You might be interested in
Problem Page Jessica's boat has a top speed of 6 miles per hour in still water. While traveling on a river at top speed, she wen
stealth61 [152]
I think it is 3:1 so tell me if it is wrong
6
0
2 years ago
What is 16/2.5-3.2x0.043
Salsk061 [2.6K]
0.1376 is the answer.
3
0
3 years ago
Last basketball season John made 62% of the free throws he attempted. In the first game this season, John went to the free-throw
Step2247 [10]
Answer:
62 x 10 =620
Step-by-step explanation:
multiply
5
0
2 years ago
I need help with b. please
aniked [119]
Its 1/5,
35/100 - 15/100 = 20/100
for 20, 40, 60, 80, 100
1, 2, 3, 4, 5
so 20/100 = 1/5
8
0
2 years ago
Solve for f<br><br> d(v)=2.15v^2 / 64.4f
patriot [66]
Hope this helps. :)
4
0
2 years ago
Other questions:
REALLY NEED HELP!!!<br> see picture*****
8
·
1 answer
2) Find the value of two numbers if their sum is (14 and their difference is 2.
11
·
1 answer
529.47 round to the nearest cent
6
·
1 answer
Write the linear equation that goes through the points (2, 20) and (-3, 8). *
6
·
2 answers
Solve 7+x÷3=2x-5 pls help me with this
13
·
2 answers
If abcd is dilated by a factor of 1/3 the coordinate d would be
11
·
2 answers
According to the Center for disease control, 15% of US adults are estimated to have a chronic kidney disease. A random sample of
12
·
1 answer
An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home
12
·
1 answer
Can anyone help me with this please?
15
·
1 answer
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
8
·
2 answers
×
Add answer
Send
×
Login
E-mail
Password
Remember me
Login
Not registered?
Fast signup
×
Signup
Your nickname
E-mail
Password
Signup
close
Login
Signup
Ask question!