SOLUTION: I am having a hard time understanding what inverse functions are and how you figure out what the inverse is of a given function. Can someone please explain?!
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-> SOLUTION: I am having a hard time understanding what inverse functions are and how you figure out what the inverse is of a given function. Can someone please explain?!
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Question 324950: I am having a hard time understanding what inverse functions are and how you figure out what the inverse is of a given function. Can someone please explain?!
I'm also trying to solve: What is the formula of the inverse function of y= 4^-2X? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Functions give you a certain output for given input.
What if I found a function that if I stuck in the output, it would give me the original input.
That's what an inverse function does.
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In other words, say
If I found a function would use the 15 value to give you 3.
Then g(x) would be the inverse of f(x) (as long as it worked for every other x value too)
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As an example of simple linear functions, and are inverse functions.
Try it and see.
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Now to your example, exponential functions and logarithmic functions are inverses of each other.
Here's how you find an inverse funtion.
Start with your function.
Interchange positions of x and y.
Now solve for y.
That new y will be the inverse function of the original function , symbolically .