Answer:
a. is the correct option
Step-by-step explanation:
The graph of a function [tex]f[/tex] and its inverse function [tex]f^{-1}[/tex] are related to each other. The relationship between these two graphs can be explained by taking a point [tex](a,b)[/tex] that is on the graph of [tex]f[/tex], then point [tex](b,a)[/tex] must lie on the graph [tex]f^{-1}[/tex] and vice versa meaning that the graph of [tex]f^{-1}[/tex] is a reflection of [tex]f[/tex] in the line [tex]y=x[/tex]. The only graph that meet this requirement is the option a. For instance, the point [tex](0,5)[/tex] is on the graph of [tex]f[/tex] while the point [tex](5,0)[/tex] is on the graph of [tex]f^{-1}[/tex] as indicated below.
