explain why f(x)=f^-1(x) for any function of the form f(x)=-x+b

Question

e.mccormick · Answer

$ f(x)=f^{-1}(x)$ for any function of the form f(x)=-x+b

Did you put y in and solve and see what it does?

anonymous · Answer

this has to do with the inverse : so
lets say y=2 and b=5
x=-2+5
x=3
is that what u want ?

e.mccormick · Answer

No, the method for finding the inverse.  Swap x and y, then solve for y.

e.mccormick · Answer

The steps you do when you find the inverse will show why this is true.

anonymous · Answer

when we have 2=-x+5 then we swap x and y we get the same answer as  y= 3+5  , i still dont get why is there ^-1  beside f

anonymous · Answer

thx anyways  :) i think i got it and my question was dumb .

e.mccormick · Answer

Hehe.  The dumb question is the one you do not ask.

f(x)=-x+b
Swap x/y to find inverse.
x=-y+b
x-b=-y+b-b
x-b=-y
(-1)(x-b)=(-1)-y
-x+b=y
therefore f inverse is: y=-x+b.


Explaining that process answers the question.

anonymous · Answer

Thx :)

e.mccormick · Answer

np.  have fun!