SOLUTION: Find f^−1(x)for f(x)=23/x^2,x>0.

Question 1188984: Find f^−1(x)for f(x)=23/x^2,x>0.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(1) A standard algebraic method for finding the inverse of a function: switch the variables and solve for the new y.

Given:

Switch variables:

Solve for y:

(2) An informal method, using the idea that an inverse function "un-does" what the function does.

The given function does the following to the input:

square it; take the reciprocal; multiply by 23

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The inverse function must do the opposite operations, in the opposite order:

divide by 23; take the reciprocal; take the square root

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