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Reika [66]
1 year ago
8

An equation that defines y as a function of x is given. a. solve for y in terms of x and

Mathematics
1 answer:
Ymorist [56]1 year ago
4 0

Answer:

  • f(x) = 2x -2/3
  • f(3) = 5 1/3

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

__

<h3>a.</h3>

We are given the equation ...

  6x -3y = 2

Solving for y, we get ...

  6x -2 = 3y . . . . . add 3y-2 to both sides

  2x -2/3 = y . . . . . divide by 3

  f(x) = 2x -2/3 . . . . write using functional notation

__

<h3>b.</h3>

To find f(3), we use x=3 in the function.

  f(3) = 2(3) -2/3 = 6 -2/3

  f(3) = 5 1/3

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