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2 years ago

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]2 years 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.

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

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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3 years ago

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Correct simplification

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Open parenthesis

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3 years ago

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