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What’s the inverse of
f(x) = -2 + 2/3x

User Pandasauce
by
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1 Answer

5 votes

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)


f(x)=-2+ (2)/(3)x\\\\y=-2+ (2)/(3)x\\\\x=-2+ (2)/(3)y

Now let's solve for y as such:


x=-2+ (2)/(3)y \\\\x+2=(2)/(3)y\\\\(3)/(2) (x+2)=y\\\\(3)/(2)x+3=y\\\\(3)/(2)x+3=f^(-1)(x)

Your inverse is f^-1(x) = 3/2x + 3

User Selvinsource
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