The inverse Laplace transform of the function f(S) = 1/S (1 + S) is_________________?

Correct answer: D. 1 - e-t

  • A. 1 + et
  • B. 1 - et
  • C. 1 + e-t
  • D. 1 - e-t

Explanation

Interpreting the expression as 1/[s(1+s)], partial fractions give 1/s − 1/(s+1), whose inverse transform is 1 − e⁻ᵗ. The printed parentheses are incomplete, but the answer choices clearly indicate this intended form.

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