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
PilotLPTM [1.2K]
3 years ago
7

Determine whether each pair of functions are inverse functions. 1) f(x) = 8x – 10, g(x) = (x + 10) 2) f(x) = 4x + 5, g(x) = 4x –

5
Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

Both are not inverse functions.

Step-by-step explanation:

To find : Determine whether each pair of functions are inverse functions ?

Solution :

To determine the functions has to satisfy the condition,

f(g(x))=x=g(f(x))

1) f(x) = 8x-10,\  g(x) = (x + 10)

f(g(x))=f(x+10)

f(g(x))=8(x+10)-10

f(g(x))=8x+80-10

f(g(x))=8x+70

As f(g(x))\neq x

g(f(x))=g(8x-10)

g(f(x))=8x-10+10

g(f(x))=8x

As the condition is not satisfied.

2) f(x) =4x+5,\  g(x) =4x-5

f(g(x))=f(4x-5)

f(g(x))=4(4x-5)+5

f(g(x))=16x-20+5

f(g(x))=16x-15

As f(g(x))\neq x

g(f(x))=g(4x+5)

g(f(x))=4(4x+5)-5

g(f(x))=16x+20-5

g(f(x))=16x+15

As the condition is not satisfied.

Both are not inverse functions.

Y_Kistochka [10]3 years ago
6 0

Answer:

Step-by-step explanation:

To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.

So I'll do the first one.

f(x) = 8x-10

y=8x-10 Now switch x and y

x = 8y-10 Now solve for y.  

x+10=8y

(x+10)/8 = y

g(x) is not that, so it is not the inverse.  Can you figure out the second one?

You might be interested in
I NEED HELP-AGAIN PLEASE ASAAAPPPP<br> Ok its the question that i attached guys please asap...
LenKa [72]

Answer:

since you have a google browser type the following equation into the bar without searching for it.

Step-by-step explanation:

the instructions or search online.  

8 0
3 years ago
Me Green's sunflower grew 29 centimeters in one week. The next week it grew 5 centimeters more than the previous week. What is t
Alex
The sunflowers grew 5 more centimeters than last week. Last week they grew 29 centimeters. 29+5=34. THe first week the flowers grew 29 centimeters. In the second week they grew 34 centimeters. in those two weeks they grew 63 centimeters.

3 0
3 years ago
Read 2 more answers
What is the balance as a result of having a credit of $84 and a debit of $29?
34kurt
Hello!
 I would be more than happy to help!
So to find the balance use this equation.

Balance = Credit- Debit


 In other words, to find BALANCE... You Subtract Debit from Credit
 
whats my credit? 84$
Whats my debit? 29$
Whats my balance? Lets find out! How? Well, lets subtract my credit (84) from my debit (29).

84-29= 55

Balance =55
 

Hope this helped!

8 0
3 years ago
Last week, a store sold laptops worth a total of $3,885.Each laptop cost $555.how many laptops did the store sell last week
mojhsa [17]
The store sold 7 laptops. 3,885/555 = 7
4 0
3 years ago
Read 2 more answers
Obtain the general solution of<br> y ln x ln y dx + dy = 0
oksano4ka [1.4K]
Dy/dx = -y inx iny

(y in x in y) dx + dy = 0

(y in x in y ) dx = - dy

(in x )dx =  - (1/ y in y) dy

you just need to integrate both sides

Hope this helps
4 0
3 years ago
Other questions:
  • Use greater,least,or equal to solve the equation. 8/10 or 5/10
    14·1 answer
  • How is 0.9999 Equal to 1 again?
    9·1 answer
  • What is the rational number?<br><br> A) 2<br> B) 4<br> C) 6
    7·2 answers
  • 1/2 n + 3 = 6 please the answer thank u
    5·2 answers
  • If there are 44 successful outcomes in a sample with a size of 80, what is the
    5·1 answer
  • Which of the following is NOT an example of a right angle?
    13·2 answers
  • The frequency table shows the scores from rolling a dice<br><br> work out the mean
    12·1 answer
  • When building a house, the number of days required to build varies inversely with with the number of workers. One house was buil
    11·1 answer
  • What is the 87th term of the arithmetic sequence with this explicit formula
    13·1 answer
  • I need help with this question
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!