SOLUTION: Find the inverse of f. F(x)=7x+13

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Question 1150130: Find the inverse of f.
F(x)=7x+13

Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse of f.
F(x)=7x+13
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y = 7x + 13
Swap x & y, then solve for y
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Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The method described by tutor @alan3354 is the standard algebraic way to find the inverse of a function.

For relatively simple functions, an alternative method can get you to the answer faster using the concept that an inverse function "gets you back where you started".

The given function does this to the input, x:
(1) multiply by 7
(2) add 13

The inverse function has to do the opposite operations, in the reverse order:
(1) subtract 13
(2) divide by 7

ANSWER: The inverse function is y+=+%28x-13%29%2F7

For practice, you should find the inverse by the standard algebraic method and verify that you get the same answer.