\#3 id ideas MATH Let $$ f(x)=|5 x+9|-7 $$. Write a function $$ g $$ whose graph is a reflection in the $$ y $$-axis of the graph of $$ f $$ The reflected function is $$ g(x)=\square $$

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To find the function $$ g(x) $$ that is a reflection of the function $$ f(x) = |5x + 9| - 7 $$ in the $$ y $$-axis, we need to apply the reflection transformation.

### Step 1: Understanding Reflection in the $$ y $$-axis
Reflecting a function in the $$ y $$-axis involves replacing $$ x $$ with $$ -x $$ in the function. Therefore, to find $$ g(x) $$, we will substitute $$ -x $$ into $$ f(x) $$.

### Step 2: Substitute $$ -x $$ into $$ f(x) $$
We start with the function:
$$
f(x) = |5x + 9| - 7
$$
Now, we substitute $$ -x $$ for $$ x $$:
$$
g(x) = f(-x) = |5(-x) + 9| - 7
$$

### Step 3: Simplify the Expression
Now, simplify the expression:
$$
g(x) = | -5x + 9| - 7
$$

### Final Result
Thus, the reflected function is:
$$
g(x) = |-5x + 9| - 7
$$

So, the answer is:
$$
g(x) = \boxed{|-5x + 9| - 7}
$$
$$ g(x) = |-5x + 9| - 7 $$

\#3 id ideas MATH Let \( f(x)=|5 x+9|-7 \). Write a function \( g \) whose graph is a reflection in the \( y \)-axis of the graph of \( f \) The reflected function is \( g(x)=\square \)

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