Answer:
The answer is "[tex]\bold{g(x) = -\frac{1}{2x} \ and \ g(x)= -3x-12}[/tex]".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to f(x) = 4x[/tex]
Following the y-axis reflexion, f(x) is 4(-x) = -4x after a [tex]\frac{1}{8}[/tex] vertical compression factor, f(x) is [tex]\frac{1}{8} \times -4x = \frac{1}{-2x}[/tex]
So, the [tex]g(x) = - \frac{1}{2x}[/tex]
The y axis reflecting indicates that its entire function is multiplied by -1
so, [tex]f(x)=3x+12^{-1}[/tex]
[tex]\to g(x)=-3x-12[/tex]
