Adi3
  • Adi3
please help will medal For each of the following functions: (i) find f^-1 (x) and the funtions are f(x) = (3 - 2x)/4
Mathematics
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SOLVED
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chestercat
  • chestercat
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Adi3
  • Adi3
We need to inverse \[\frac{ 3-2x }{ 4}\]
Adi3
  • Adi3
but I don't know how to fo it.
Adi3
  • Adi3
@phi

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rishavraj
  • rishavraj
follow the steps :) http://www.coolmath.com/algebra/16-inverse-functions/05-how-to-find-the-inverse-of-a-function-01
Adi3
  • Adi3
I don't get that
rishavraj
  • rishavraj
replace f(x) with "y" so its y = (3 - 2x)/4
rishavraj
  • rishavraj
and then switch x and y .... so u will get x = (3 - 2y)/4 and then solve for y
Adi3
  • Adi3
so for solving for y we do |dw:1442232845898:dw|
Adi3
  • Adi3
so is it gonna be 3/4+ 2
Adi3
  • Adi3
when we solve for Y
rishavraj
  • rishavraj
hmmm see. x = (3 - 2y)/4 multiply 4 onn both sides.... u will get 4x = 3 - 2y so 3 - 4x = 2y now get y
Adi3
  • Adi3
how do u get y?
Adi3
  • Adi3
is it |dw:1442233372467:dw|
rishavraj
  • rishavraj
nah see i askd u to switch x and y so u will get \[x = \frac{ 3 - 2y }{ 4 }\]
rishavraj
  • rishavraj
so multiply 4 on both side . u will get 4x = 3 - 2y
Adi3
  • Adi3
is back to the same thing
rishavraj
  • rishavraj
then 3 - 4x = 2y so y = (3 - 4x)/2
Adi3
  • Adi3
alright i get bye

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