Cie As Maths

I don't understand , why it x-2=1 or -1, how they got the -1 ? and how to sketch this graph

Have you plugged in x values in order to sketch / understand the function?
-1 comes about because when you square both -1 and 1, you get 1.

break the function's parameters ? Would you explain me a lilttle bit more , cause I couldnt figure out how they plot this graph

break the function's parameters ? Would you explain me a lilttle bit more , cause I couldnt figure out how they plot this graph

Break the functions parameters doesn't really mean anything. Use desmos.com to check it's right, play with changing the function parameters.

Or, as per previous post, sub values into it and plot/join the points which is the naive/fall back method. A more insightful method is to plot 1/x (which you should know) and then consider the simple transformations mentioned in the previous post. Upload what you've tried.

OP was asking about the inequalities
1 < x < 3
Corresponding to f(x)>=5. Looks like a typo and they should be
1 <= x <= 5

What does the dotted line says in the graph and why the inequality sign is 1<x<3 not same as f(x)≥5 , ( ≥)

I answered the inequality sign error in the previous post. Corrected typo.
The dotted lines just represent the x values