SOLUTION: I am being told to verify that a function {{{ g(x)=x-2/5 }}} is the inverse of function {{{ f(x)=5x+2 }}} The first step reads "The function notation f(x) can be rewritten as______
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Question 396780: I am being told to verify that a function is the inverse of function The first step reads "The function notation f(x) can be rewritten as____________. Choose x or y." Then we are to "Rewrite the equation you wrote in Step One with the variables reversed. Solve for y."
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm not sure what your book is looking for. All I can do is show you how I would do the problem.
\ =\ 5x\ +\ 2)
Substitute 
for )
Solve for 
in terms of
Swap positions of and
Substitute )
for
\ =\ \frac{x\ -\ 2}{5})
but your given is that 
represents the inverse function, hence:
\ =\ \frac{x\ -\ 2}{5})
Please note that you rendered your inverse function incorrectly. You should have written g(x)=(x-2)/5 which would have rendered
John
My calculator said it, I believe it, that settles it
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
-----------------------
verify that a function is the inverse of function
find inverse of
.....solve for "x ="
.........switch x and y; the "y =" is the inverse
is not the inverse of function because
is equal to
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