SOLUTION: Determine which two functions are inverse of each other.
{{{ f(x)= (x-7)/3 }}}
{{{ g(x)=3x-7 }}}
{{{ h(x)=(x-3)/(-7) }}}
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Question 691436: Determine which two functions are inverse of each other.
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
A) , we find by setting and rearranging to make x the subject, so
and replacing y with x gives us the inverse
Hence,
B) , we find by setting and rearranging to make x the subject, so
and replacing y with x gives us the inverse
Hence,
C) , we find by setting and rearranging to make x the subject, so
and replacing y with x gives us the inverse
Hence,
Conclusion: none of the functions are inverses of each other. Is there a typo in the question? Let me know and I'll take another look.
Kind Regards, Steve.
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