f(x)=4x+6; g(x)=x/4-6 is the function inverse of eachother.

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- Aug 10th 2010, 09:22 PMsoniInverse Function
f(x)=4x+6; g(x)=x/4-6 is the function inverse of eachother.

- Aug 10th 2010, 09:49 PMeumyang

I guess you want to know if f(x) and g(x) are inverses of each other? If

f(g(x)) = x and g(f(x)) = x then the answer is yes.

I'll setup both for you.

...

Will f(g(x)) = x?

And

...

Will g(f(x)) = x? - Aug 10th 2010, 09:51 PMmasoug
The very best way is to take one of the functions and "plug" it into the other

So in this case, and , must equal .

So the inverse of should be:

Checking that would be:

Cancel out the four,

And simplify,

and so it checks, is the inverse function.

-Masoug - Aug 10th 2010, 10:15 PMsoni