Question Detail
Question
Given the function y = ex, find f(x+h) - f(x).
Correct Answer
Option B is the correct answer.
Detailed Explanation
Given f(x) = ex.Then f(x+h) = e(x+h).So, f(x+h) - f(x) = e(x+h) - ex.Using the exponent rule a(m+n) = am * an, we have e(x+h) = ex * eh.Thus, ex * eh - ex.Factoring out ex gives ex(eh - 1).
Hint
Apply exponent rules for e(x+h) and then factor out common terms.