Use symmetry to graph the inverse of the function.

a. is the correct option

The graph of a function and its inverse function are related to each other. The relationship between these two graphs can be explained by taking a point that is on the graph of , then point must lie on the graph and vice versa meaning that the graph of is a reflection of in the line . The only graph that meet this requirement is the option a. For instance, the point is on the graph of while the point is on the graph of as indicated below.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: