jolie3000 wrote:The point (8,-5) is on the graph of y=f(x), which point must be on the graph of y=1/f(-x)-2

To learn, in general, about function transformations and translations, try

here.

I will guess that "1/f(-x)-2"

means the following:

. . . . .Also, I will guess that the "which point" language is referring to some list of point from which you are to choose...?

Since x = 8 is an input in f(x), then probably they've given you a point with x = -8, since -x = -(-8) = +8, which is the x-value they gave you to start with.

Since f(8) = -5, then f(-(-8)) will also equal -5. Then 1/f(-(-8)) will equal 1/(-5) = -1/5. Then subtract the 2 to find the y-value for (1/f(-x)) - 2. See if this matches any of the options they gave you.

Thank you!