f = {(-1, -5), (0, -3), (1, -1), (2, -1), (3, 3), (4, 5)} Use the points of f to find the points of f-1. A) {(5, 1), (3, 0), (-1, 1), (1, -2), (3, 3), (5, 4)} B) {(-5, -1), (-3, 0), (-1, 1), (-1, 2), (3, 3), (5, 4)} C) {(-5, -1), (-3, 0), (-1, -1), (1, 2), (3, -3), (5, 4)} D) {(-5, -1), (-3, 0), (-1, 1), (-1, 2), (3, 3), (-5, 4)}

7

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the answer would be 7

you already gave the answer

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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.

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