Question 5 of 20 If $$ f(x)=5^{x}+2 x $$ and $$ g(x)=3 x-6 $$, find $$ (f+g)(x) $$

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UpStudy AI · Accepted Answer

To find $$(f + g)(x)$$, you simply add the functions $$f(x)$$ and $$g(x)$$ together.

Given:
- $$ f(x) = 5^{x} + 2x $$
- $$ g(x) = 3x - 6 $$

**Step-by-Step Solution:**

$$
\begin{align*}
(f + g)(x) &= f(x) + g(x) \
&= \left(5^{x} + 2x\right) + \left(3x - 6\right) \
&= 5^{x} + 2x + 3x - 6 \
&= 5^{x} + (2x + 3x) - 6 \
&= 5^{x} + 5x - 6
\end{align*}
$$

**Final Answer:**

$$
(f + g)(x) = 5^{x} + 5x - 6
$$
$$(f + g)(x) = 5^{x} + 5x - 6$$

Question 5 of 20 If \( f(x)=5^{x}+2 x \) and \( g(x)=3 x-6 \), find \( (f+g)(x) \)

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