$f,g \in F(\Omega, \mathbb{R})$ defined by$ f(x)=e^{\ln(5 x+5)}$ and $g(x)=3 x^2+4 x+4; \forall x \in \Omega$. Evaluate $(9 f+14 g)(8)$?

Question

Suppose, $f,g \in F(\Omega,\mathbb{R})$ defined by $f(x)=e^{\ln(5 x+5)}$ and $g(x)=3 x^2+4 x+4; \forall x \in \Omega$.

Evaluate $(9 f+14 g)(8)$.

Not sure if I am correct but this is what i did:

$\begin{align} & (9f +14g)(x) = 9f(x) + 14g(x)\\ \implies & (9f+14g)(8) = 9f(8) + 14g(8) \end{align}$

For $9f(8)$, I substituted $x = 8$ into $f(x)$ then multiplied that answer by $9$ to get $405$.

Similarly, for $14g(8)$, substituted $x = 8$ into $g(x)$ then multiplied by $14$ to get $3192$.

Adding them together, the final answer becomes $405 + 3192 = 3597$.

Is this correct or not?