Question

Which function, g or h, is the inverse function for function ƒ? the function h because the graphs of ƒ and h are symmetrical about the y-axis the function g because the graphs of ƒ and g are symmetrical about the line y = x the function h because the graphs of ƒ and h are symmetrical about the line y = x the function g because the graphs of ƒ and g are symmetrical about the x-axis?

Answer 1

A function and it's inverse function, when graphed, will be symmetrical across the line y=x. 
Without seeing your graphs, I can't tell you if it's g or h. Look for the function which mirrors 'f' across y=x, which is a diagonal line passing through the origin (0,0) of the graph.