Given: A function
[tex]G(x)=\frac{1}{x}[/tex]
Required: To determine the function's equation if G(x) is shifted 4 units to the left and 4 units up.
Explanation: The shifting of a function f(x) 'a' units to the left is f(x+c).
To shift a function f(x), 'b' units up is represented by adding 'b' to the function's value.
Hence, shifting the given function 4 units to the left and 4 units up is-
[tex]G(x)=\frac{1}{x+4}+4[/tex]
Final Answer: Option A is correct.
