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.

Substitute for

Solve for in terms of

Swap positions of and

Substitute for

but your given is that represents the inverse function, hence:

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!

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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

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______