Which of the following statements describe a function and its inverse? select all that apply. a. the compositions f(g(x)) and g(f(x)) will simplify to z if the functions are inverses.

b. if the point (, y) is on the graph of f(x), the point (y, x) is on the graph of g(2) if the two functions are inverses.

c. a function and its inverse are reflections across the z-axis.

d. if the inverse of the equation f(x) is found, the inverse is g(x0) if f(g() = g(f(x)).

b

step-by-step explanation:

the word superfluous means unnecessary

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:

b

step-by-step explanation: