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Hi!
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
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(Original post by XxsciencemathsxX)
Hi!
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
Hi!
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
is said to be an inverse to 
if 
, or in more familiar notation 
. We then say that 
In your case, it is clear that
or 
so is an inverse, i.e 
.
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#3
(Original post by XxsciencemathsxX)
Hi!
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
Hi!
Can someone please help with with MEI C3 June 2015 Q7 i)?
It says that f(f(x))= x hence write down f^-1(x). Why is f^-1(x)= f(x)?
(remember an inverse takes you back to the original input).So if you have
, it must mean that the function is the same as its inverse.Alternatively you can do this:
Take
of both sides to get
Then
and "cancel" on the left hand side so you're left with
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