Tip:A–D to answerE for explanationV for videoS to reveal answer
The domain of real-valued function f(x)=x−3+x−4 is the set of all values of x satisfying
- A.
3<x<4
- B.
3\leq x<\infty
- C.
3≤x≤4
- D.
4≤x≤∞
(Correct Answer)
Explanation
Final Verification:
-
For the first part x−3: If x=4, we get 4−3=1=1 (Valid).
-
For the second part x−4: If x=4, we get 4−4=0=0 (Valid).
If you pick any value smaller than 4 (like x=3.5), the second part 3.5−4 becomes −0.5, which is not a real number.
Final Answer:
Explanation
Final Verification:
-
For the first part x−3: If x=4, we get 4−3=1=1 (Valid).
-
For the second part x−4: If x=4, we get 4−4=0=0 (Valid).
If you pick any value smaller than 4 (like x=3.5), the second part 3.5−4 becomes −0.5, which is not a real number.
Final Answer: