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Mathematics 15 Online
OpenStudy (anonymous):

If (7, -4) is on the graph of F(x), which point must be on the graph of the inverse function F^-1(y)?

OpenStudy (misty1212):

HI!!

OpenStudy (anonymous):

hey lol

OpenStudy (misty1212):

switch them that is what the inverse does

OpenStudy (misty1212):

\[f(7)=-4\\ f^{-1}(-4)=7\]

OpenStudy (anonymous):

You dont have to plug it into F^-1(y)?

OpenStudy (misty1212):

all you are told is that \((-7, 4)\) is on the graph of \(f\) that means \(f(-7)=4\) they say the same thing

OpenStudy (anonymous):

so (-4,7)?

OpenStudy (misty1212):

and the inverse function switches the ordered pairs, so if \((7,-4)\) is on the graph of \(f\) that means \((-4,7)\) is on the graph of \(f^{-1}\) so yeah \[f^{-1}(-4)=7\)

OpenStudy (misty1212):

\[f^{-1}(-4)=7\]

OpenStudy (misty1212):

what you said \((-4,7)\)

OpenStudy (anonymous):

thanks a bunch, again lol

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