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50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined as follows:

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50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined-example-1
User BigSauce
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1 Answer

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Explanation:

Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).

For x + 6 if x < 2,

It becomes 2(x + 6) if x < 2.

We have 2x + 12 if x < 2.

For x² + 4x - 15 if 2 <= x <= 5,

It becomes 2(x² + 4x - 15) if 2 <= x <= 5.

We have 2x² + 8x - 30 if 2 <= x <= 5.

For 5 - x if 5 < x,

It becomes 2(5 - x) if 5 < x.

We have 10 - 2x is 5 < x.

The answer is the 1st option.

User Rlubke
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