How do I do this?

L

loomdooom222

New member
Joined
Dec 16, 2019
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5
The function
$f(x)$
is invertible, but the function
$g(x)=f(kx)$
is not invertible. Find the sum of all possible values of
$k$
.
 
loomdooom222 said:
Inversible I think
Click to expand...
I don't think "Inversible" is a mathematical term!

What are the properties of an "invertible function" (besides being a function)?

And

What are the properties of a "non-invertible function" (besides being a function)?
 
loomdooom222 said:
The function
$f(x)$
is invertible, but the function
$g(x)=f(kx)$
is not invertible. Find the sum of all possible values of
$k$
.
Click to expand...
If you want to try another approach to the problem, you might consider what the transformation [MATH]g(x) = f(kx)[/MATH] does to the graph of [MATH]f[/MATH]. Under what conditions could either be invertible, and the other not? What distinguishes the graph of an invertible function from one that is not?
 
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