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Mathematics 17 Online
OpenStudy (anonymous):

What is the domain of the inverse of a relation? A. the domain of the original function B. the range of the original function C. all real numbers D. the line y = x

OpenStudy (anonymous):

@sfb

OpenStudy (anonymous):

I know it isn't A.

OpenStudy (anonymous):

i thought it was c but im not sure ?

OpenStudy (anonymous):

it is B. The domain of the original is the range of the inverse.

OpenStudy (anonymous):

thank u !

OpenStudy (anonymous):

you're welcome

OpenStudy (anonymous):

can u answer this one or help ? Determine if the inverse of function {(-3, -6), (-1, 2), (1, 2), (3, 6)} is also a function. A. function B. not a function

OpenStudy (anonymous):

if you switch all the pairs in each ordered pair, then look at it again you should be able to decide if it passes the test for a function or not. try it, i'll wait.

OpenStudy (anonymous):

im not sure how to do that ?

OpenStudy (anonymous):

ok, so with each of those ordered pairs (or tuples, or w/e) you have (x, y)... so you have to switch the x and y values for each. then, if in the NEW ordered pairs there is a value for x that has more than 1 value for y it couldn't be a function, yes?

OpenStudy (anonymous):

so the first one, (-3, -6) would become (-6, -3) and so on.

OpenStudy (anonymous):

so it is a function ?

OpenStudy (anonymous):

well, look at it: to me, after switching the x's and y's, it looks like we have a case where when x = 2, y = -1 OR y = 1. So in that case, what do you think, function or not?

OpenStudy (anonymous):

yes .

OpenStudy (anonymous):

does it pass the vertical line test? it fails, right? This would not qualify as a function.

OpenStudy (anonymous):

ohhh . ok . now i get it .

OpenStudy (anonymous):

right, we need to KNOW that when we give it x = 2, it will always spit back out y = 1 (or y = -1, but not both)

OpenStudy (anonymous):

ok , thsnk you .

OpenStudy (anonymous):

np

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