Me !

which function has an inverse that is a function?

b(x) = x^2 +3
d(x)= -9
m(x)= -7x
p(x)= ixi

which function has an inverse that is also a function?

-4,3 -2,7 -1,0 4,-3 11, -7

-4,6 -2,2 -1,6 4,2 11,2

-4,5 -2,9 -1,8 4,8 11,4

-4,4 -2,-1 -1,0 4,1 11,1

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: