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F(x)=2x-3,what is the new function k(x) after a vertical compression by a factor of 0.7?

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Final answer:

To create the new function k(x) after a vertical compression by a factor of 0.7 to the function F(x)=2x-3, the function becomes k(x)=1.4x-2.1.

Step-by-step explanation:

The student asked how to find the new function k(x) after a vertical compression by a factor of 0.7 is applied to the function F(x)=2x-3. To apply a vertical compression by a factor of 0.7 to the given function, you multiply the output of the function by 0.7. So, the compressed function k(x) will be:

k(x) = 0.7 × F(x)

k(x) = 0.7 × (2x - 3)

k(x) = 1.4x - 2.1

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