The correct answer is: Either (B) or (C).
The Laplace transform and the Fourier transform are both integral transforms that can be used to relate the frequency and time domains. The Laplace transform is a powerful tool for analyzing linear time-invariant (LTI) systems, while the Fourier transform is more commonly used for analyzing signals.
The Laplace transform is defined as
$$Lf(t): s = \int_0^\infty f(t) e^{-st} dt$$
where $s$ is a complex number. The inverse Laplace transform is defined as
$$f(t) = \frac{1}{2\pi i} \int_{c-i\infty}^{c+i\infty} Lf(t): s e^{st} ds$$
where $c$ is a real number greater than any of the poles of $Lf(t): s$.
The Fourier transform is defined as
$$Ff(t): \omega = \int_{-\infty}^{\infty} f(t) e^{-j\omega t} dt$$
where $\omega$ is a real number. The inverse Fourier transform is defined as
$$f(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} Ff(t): \omega e^{j\omega t} d\omega$$
The Laplace transform and the Fourier transform are related by the following equation:
$$Lf(t): s = \int_{0}^{\infty} Ff(t): \omega e^{-s\omega} d\omega$$
This equation can be used to convert a signal from the time domain to the frequency domain, or vice versa.
The Laplace transform and the Fourier transform are both powerful tools for analyzing signals and systems. The choice of which transform to use depends on the specific application.