To find \((f \cdot g)(x)\), we will multiply the functions \(f(x)\) and \(g(x)\).
Given:
- \(f(x) = x + 5\)
- \(g(x) = 2x\)
The product \( (f \cdot g)(x) \) is given by:
\[ (f \cdot g)(x) = f(x) \cdot g(x) \]
Substituting the expressions for \(f(x)\) and \(g(x)\):
\[ (f \cdot g)(x) = (x + 5)(2x) \]
Now, we distribute \(2x\) to both terms in \( (x + 5) \):
\[ (f \cdot g)(x) = 2x^2 + 10x \]
So, the result is:
\[ (f \cdot g)(x) = 2x^2 + 10x \]