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