Sets $$ A $$ and $$ H $$ are defined as follows. $$ \begin{array}{l}A=\{g, h, k\} \ H=\{d, f, g\}\end{array} $$ Answer each part below. Write your answer in roster form or as $$ \varnothing $$. (a) Find the union of $$ A $$ and $$ H $$. $$ A \cup H=\square $$

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To find the union of sets $$ A $$ and $$ H $$, we combine all distinct elements from both sets.

Given:
$$
A = \{g, h, k\}
$$
$$
H = \{d, f, g\}
$$

The union $$ A \cup H $$ includes every element that is in $$ A $$, in $$ H $$, or in both. We list each unique element:

- From $$ A $$: $$ g, h, k $$
- From $$ H $$: $$ d, f $$
- Note that $$ g $$ appears in both sets but is listed only once in the union.

Therefore, the union of $$ A $$ and $$ H $$ is:

$$
A \cup H = \{d, f, g, h, k\}
$$

**Answer:**
$$ A \cup H = \{\,d,\ f,\ g,\ h,\ k\,\} $$
$$ A \cup H = \{d, f, g, h, k\} $$

Sets and are defined as follows.

Answer each part below. Write your answer in roster form or as .
(a) Find the union of and .

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Sets and are defined as follows. Answer each part below. Write your answer in roster form or as . (a) Find the union of and .