Multiple choice general knowledge math & puzzles

Let the closed interval [a , b] be the domain of function f. The domain of f(x - 3) is given by

  1. the open interval (a , b)

  2. the closed interval [a , b]

  3. the closed interval [a - 3 , b - 3]

  4. the closed interval [a + 3 , b + 3]
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The function $f(x-3)$ is a horizontal shift of $f(x)$ to the right by 3 units. If the original domain is $[a, b]$, the new domain is found by solving $a \le x - 3 \le b$, which simplifies to $a + 3 \le x \le b + 3$.

Keep practicing — related questions