SOLUTION: inverse of y=log(x-7)

Question 1111671: inverse of y=log(x-7)
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

(1) A formal algebraic process for finding the inverse of a function: switch x and y and solve for the new y:

The inverse is .

(2) A different way to find an inverse, if the function is relatively simple:

Since an inverse function "un-does" what the function does, determine what operations were performed on the input by the original function; the inverse function will perform the inverse operations in the opposite order.

For this example, the operations performed on the input by the original function are
(1) subtract 7
(2) take log base 10

The inverse operations, in the opposite order, are
(1) raise 10 to the power
(2) add 7

The inverse is
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