Try this solution, note, the shown way is not the shortest one.
The answer is marked with red colour.
Answer: 1/x + 7
Step-by-step explanation: you plug the function g(x) into the function f(x) .. substitue g(x) for the x in f(x)
G(x) = 1/x , so you plug that in the x of f(x) and get 1/x + 7
The next greater tenth is 14.7
The next smaller tenth is 14.5
Neither of them is nearer to 14.6 than 14.6 already is.
So 14.6 is already the nearest tenth.