Given h, of, x, equals, minus, x, plus, 5h(x)=−x+5, find h, of, minus, 5h(−5).

1 answer

To find \( h(-5) \) given the function \( h(x) = -x + 5 \), we can substitute \(-5\) for \(x\):

\[ h(-5) = -(-5) + 5 \] \[ = 5 + 5 \] \[ = 10 \]

Now that we have \( h(-5) = 10 \), we can also confirm that your query mentioned \( h(h(-5)) \) which might imply to find \( h(h(-5)) \).

To calculate \( h(h(-5)) \):

Since we found that \( h(-5) = 10 \), we now need to find \( h(10) \):

\[ h(10) = -10 + 5 \] \[ = -5 \]

Thus, the final result is:

\[ h(-5) = 10 \quad \text{and} \quad h(h(-5)) = h(10) = -5 \]

If you intended for just \( h(-5) \), the answer is \( 10 \). If you were also interested in \( h(h(-5)) \), then the answer is \( -5 \).