To find the point on the graph of \(-f(-x)\) given that the point \((7, 43)\) is on the graph of \(f(x)\), we can follow these steps:
- Since \((7, 43)\) means that \(f(7) = 43\), substituting \(-x\) gives us \(f(-7)\).
- The graph of \(-f(-x)\) means we take the output of \(f(-7)\) and negate it.
- Therefore, we have: \[ -f(-7) = -f(7) = -43 \]
This shows that the corresponding point on \(-f(-x)\) is \((-7, -43)\).
So the answer is \((-7, -43)\).