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mina [271]
2 years ago
11

If f(x) = 2x - 2 and g(x) = x}, what is (gºf)(4)?

Mathematics
1 answer:
Bad White [126]2 years ago
4 0

Answer:

We conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

Step-by-step explanation:

Given

f(x) = 2x - 2

g(x) = x

We have to determine (gºf)(4).

(gºf)(4) = g(f(4))

f(4) = 2(4)-2

      = 8 - 2

      = 6

Thus,

(gºf)(4) = g(f(4)) = g(6) = 6

Therefore, we conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

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Answer:

{x,y,z}={1,3,4}

Step-by-step explanation:

System of Linear Equations given :

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  [3]    -2x + 3y - 3z = -5

Solve by Substitution :

// Solve equation [2] for the variable  z

 [2]    z = -3x - 2y + 13

// Plug this in for variable  z  in equation [1]

  [1]    x + 3y - 2•(-3x-2y+13) = 2

  [1]    7x + 7y = 28

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  [3]    7x + 9y = 34

// Solve equation [3] for the variable  y

 [3]    9y = -7x + 34

 [3]    y = -7x/9 + 34/9

// Plug this in for variable  y  in equation [1]

  [1]    7x + 7•(-7x/9+34/9) = 28

  [1]    14x/9 = 14/9

  [1]    14x = 14

// Solve equation [1] for the variable  x

  [1]    14x = 14

  [1]    x = 1

// By now we know this much :

   x = 1

   y = -7x/9+34/9

   z = -3x-2y+13

// Use the  x  value to solve for  y

   y = -(7/9)(1)+34/9 = 3

// Use the  x  and  y  values to solve for  z

 z = -3(1)-2(3)+13 = 4

Solution :

{x,y,z} = {1,3,4}

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