# If f(x) = x + 4 and g(x) = 4x^2, find (f + g)(x) and (f + g)(2).

If $f\left(x\right)=x+4$ and $g\left(x\right)=4x²$, find $\left(f+g\right)\left(x\right)$ and $\left(f+g\right)\left(2\right)$.

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davonliefI

Recall that $\left(f+g\right)\left(x\right)=f\left(x\right)+g\left(x\right)$ so:
$\left(f+g\right)\left(x\right)=\left(x+4\right)+\left(4{x}^{2}\right)$
$\left(f+g\right)\left(x\right)=4{x}^{2}+x+4$
Replacing x with 2 and evaluating, we can find $\left(f+g\right)\left(2\right)$. $\left(f+g\right)\left(2\right)=4{\left(2\right)}^{2}+4$
$\left(f+g\right)\left(2\right)=16+2+4$
$\left(f+g\right)\left(2\right)=22$