# What if there are more solutions?

Algebra Level pending

Let $$f$$ be a continuous function $$f:R\rightarrow R$$ , that satisfies the following conditions for every $$x,y\in R$$:

• $$f\left( x+y \right) =f\left( x \right) +f\left( y \right)$$
• $$f\left( 1 \right) ={ 10 }^{ 7 }$$

Find the value of $$f\left( e \right)$$ up to 2 decimal places.

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