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Bond [772]
3 years ago
12

3x – 2y + 5; f = 7, y= 10

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

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Step-by-step explanation:

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If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of<br>x such that gof(x) = 8.​
Yakvenalex [24]

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

8 0
3 years ago
Doing a test and I need to know these.
Luda [366]
To do 4x> 12, you divide 4x by 4 to isolate variable then divide 12 by 4, because if you do something on one side you have to do on the other so... x= 3 ..hope that helped . Also 75% of 96 Its 72.. its just 75/100 = x/96 then use cross products to find out that
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