Ok, a function math problem. i need it explained to me?

Question

it wants me to state the points at which the curve crosses the X axis, and or state the equations of any asymptotes.

so the function that is being applied is f(x)=1/x

the questions is - a, f(x+2)



Can someone do it, step by step.
its the 1/x that that is bugging me

Answer 1

The function has a vertical asymptote x=0 and a horizontal asymptote y=0. The curve never crosses the x-axis.

The f(x+2) just shifts the graph of f(x) 2 units to the left. The vertical asymtote is at x = -2. The horizontal asymptote remains at y = 0.