The function $$ h $$ is defined by $$ h(x)=3 x^{2}-7 $$. Find $$ h(4 n) $$.

Question

UpStudy AI · Accepted Answer

To find $$ h(4n) $$ for the function $$ h(x) = 3x^2 - 7 $$, substitute $$ x $$ with $$ 4n $$:

$$
h(4n) = 3(4n)^2 - 7
$$

First, calculate $$ (4n)^2 $$:

$$
(4n)^2 = 16n^2
$$

Now substitute back into the function:

$$
h(4n) = 3 \times 16n^2 - 7 = 48n^2 - 7
$$

**Answer:** After simplifying, $$ h(4n) = 48\,n^{2} - 7 $$.
$$ h(4n) = 48n^{2} - 7 $$

The function \( h \) is defined by \( h(x)=3 x^{2}-7 \). Find \( h(4 n) \).