What is the correct term to use here in this context?

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Say I have function, $y = e^{2x+1}$ so is it correct to say,

  1. $x$ is the independent variable of the function.
  2. $ 2x + 1$ is the argument of the function.

I'm getting confused between independent variable and argument.

Can anyone highlight some distinguishing points that can clear my confusion?

Thanks!

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If $f(x)=e^{2x+1}$ , then $x$ is the independent variable of $f$ and $x$ is the argument in $f$.