Transformation involves moving a function from one position to another. The resulting function g(x) is:
[tex]g(x) = \frac{1}{2(x- 5)^2} - 4[/tex]
Given that:
[tex]f(x) = \frac{1}{x^2}[/tex]
See attachment for vertical compression
When the function is shifted 5 units left, the rule is:
[tex](x,y) \to (x- 5,y )[/tex]
So, we have:
[tex]f"(x) = \frac{1}{2(x- 5)^2}[/tex]
When the function is shifted 4 units down, the rule is:
[tex](x,y) \to (x,y -4)[/tex]
So, we have:
[tex]g(x) = \frac{1}{2(x- 5)^2} - 4[/tex]
Hence, the resulting function is: [tex]g(x) = \frac{1}{2(x- 5)^2} - 4[/tex]
Read more about transformations at:
https://brainly.com/question/11709244
