If I'm given an LTI system. And I'm supposed to find the input $x(t)$, given $y(t)$ and $h(t)$. Am I able to use this relationship:
$$X(F) = \frac{Y(f)}{H(f)}$$
Another question I have is if I'm given $$y(t) = x_1(t) + x_2(t)$$ Does the following hold in the frequency domain:
$$Y(f) = H(f) + X(f)$$
NOTE: $y(t) = x_1(t) + x_2(t)$ Could just be a mistake in the assignment. I think a convolved sign should be there and not addition. I'm not too sure.