The function $$ h $$ is defined as follows. $$ h(x)=\frac{x-12}{4 x+2} $$ Find $$ h(7) $$. Simplify your answer as much as possible. If applicable, click on "Undefined" $$ h(7)=\square $$

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To find $$ h(7) $$ for the function $$ h(x) = \frac{x - 12}{4x + 2} $$, follow these steps:

1. **Substitute $$ x = 7 $$ into the function:**

$$
   h(7) = \frac{7 - 12}{4(7) + 2}
   $$

2. **Calculate the numerator:**

$$
   7 - 12 = -5
   $$

3. **Calculate the denominator:**

$$
   4 \times 7 + 2 = 28 + 2 = 30
   $$

4. **Form the fraction:**

$$
   h(7) = \frac{-5}{30}
   $$

5. **Simplify the fraction by dividing the numerator and the denominator by 5:**

$$
   \frac{-5 \div 5}{30 \div 5} = \frac{-1}{6}
   $$

So, the simplified value of $$ h(7) $$ is:

$$
h(7) = -\frac{1}{6}
$$

**Answer:** $$ h(7) = -\dfrac{1}{6} $$
$$ h(7) = -\dfrac{1}{6} $$

The function \( h \) is defined as follows. \[ h(x)=\frac{x-12}{4 x+2} \] Find \( h(7) \). Simplify your answer as much as possible. If applicable, click on "Undefined" \( h(7)=\square \)

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