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