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
masha68 [24]
3 years ago
8

If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value ofx such that gof(x) = 8.​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

  f(y) = x . . . . . . . solve this to find f^-1(x)

  3y -2 = x

  3y = x +2 . . . . add 2

  y = (x +2)/3 = f^-1(x) . . . . divide by 3

__

Now, we can find g(x):

  f^-1(f(g(x)) = g(x)

  f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

  6x/3 = g(x) = 2x

__

Now, we want g(f(x)) = 8

  g(3x -2) = 8

  2(3x -2) = 8

  6x -4 = 8

  6x = 12

  x = 2 . . . . makes g(f(x)) = 8

You might be interested in
Yaraliz has a bag of M&Ms. She has 5 blue M&Ms, 2 green M&Ms, and 3
Dmitriy789 [7]
In the bag there’s is 5 blue and only 2 green she is most likely gonna pick blue. Who would even want to know that
5 0
3 years ago
Read 2 more answers
Verify the identity <br> cos ( x + pi/2) = -sin x
IgorLugansk [536]
Hello 
cos ( x + pi/2) =cos(x)cos(pi/2)-sin(x) sin(pi/2) 
                       = cos(x)×0-sin(x) ×1
                    cos ( x + pi/2)   = - sin(x)
3 0
3 years ago
Read 2 more answers
Need help with this math ​
UNO [17]

Step-by-step explanation:

set up a proportion for a.

225/30=x/195. x=1462.5 milligrams daily

for b, if he gets 700 mg every 8 hours he only gets it 3 times a day. 700*3 is 2100, which means he is overdosing

7 0
3 years ago
Out of 30 questions Ahmad answers 12 of them incorrectly.what percent of the questions did he correctly
12345 [234]
(12/30)x100 is 40%
This is percent of incorrect answers. The total percent must be 100% so subtract 100-40=60%.
60% answers were answered correctly.
5 0
3 years ago
Read 2 more answers
F(x)+2x^2-4x-3 g(x)=2x^2-16 find f(x)+g(x)
AveGali [126]
F(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16

f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19
3 0
3 years ago
Other questions:
  • Evaluate 3a2 + 4b2 for a = 2 and b = 3
    8·1 answer
  • Does the point (5,9)satisfy the equation y=x+7?
    6·1 answer
  • Students sold raffle tickets to raise money for a field trip. The first 20 tickets sold cost $4 each. To sell more tickets, they
    15·2 answers
  • Factor<br> 16x2 + 34x – 15
    7·2 answers
  • A shop sells 6 types of sweets (chocolate, taffy, gummies, cookies, brownies, and sweet tarts), 3 types of snacks (chips, cracke
    9·1 answer
  • Guys I need the rights sneer ASAP ready the question and look at the pic
    15·1 answer
  • Take two- HOW DO I SOLVE THISSSSSSSSS
    12·1 answer
  • 1/6 + 2/3 + 36 (help plz)
    6·2 answers
  • What is 1 2/3 x 3 1/2 as a mixed number in simplest form ?
    10·2 answers
  • Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!