Answer:
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Step-by-step explanation:
1) The coordinates of X are (1, -3)
2) When you reflect over a line parallel to the y-axis the x-coordinate does not change, so the x-coordinate of X' is 1.
3) The vertical distance between the point X (1, - 3) and the line y = 1 is 1 - (-3) = 1 + 3 = 4.
4) The vertical distance of the point X' has to ve the same, 4, and the point X' will be 4 units over the line y = 1. That leads to y = 1 + 4 = 5.
So the y-coordinate of the point X' is 5.
5) Conclusion the coordinates of the point X' are x = 1, y = 5, i.e.point (1,5)
Answer:
Option D
Step-by-step explanation:
Given f(x) = ![\sqrt[3]{4x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%7D)
g(x) = 2x + 3
Since, 
![=\frac{\sqrt[3]{4x}}{2x+3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B4x%7D%7D%7B2x%2B3%7D)
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠ 
Therefore, Option D will be the correct option.
