Given h, of, x, equals, minus, x, minus, 4h(x)=−x−4, find h, of, 3h(3).

Answer 1

To solve for \( h(3) \) given the function \( h(x) = -x - 4 \), we can substitute \( x = 3 \) into the function.

\[ h(3) = -3 - 4 \]

Calculating this gives:

\[ h(3) = -7 \]

Next, we need to find \( h(h(3)) \), which is \( h(-7) \).

Now substitute \( x = -7 \) into the original function:

\[ h(-7) = -(-7) - 4 \]

Calculating this gives:

\[ h(-7) = 7 - 4 = 3 \]

Therefore, the final result is:

\[ h(h(3)) = 3 \]

So, \( h(h(3)) = 3 \).