What is the sum of all solutions of ?

Answer and explanation

Correct answer: B.

  1. Step 1: Solve the absolute value equation by considering the two cases where .
  2. Step 2: Case 1 (): (valid since ). Case 2 (): (valid since ).
  3. Step 3: Sum the two solutions: .
Answer
.

Practise more Functions.

Free questions with an explanation for every one, and full timed Cambridge A-Level mock tests.