NDA 2026
- Exam
- NDA
- Year
- 2026
- Subject
- Mathematics
- Chapter
- Functions
NDA 2026 · Mathematics · Functions
If 2f(x)+f(1-x)=x , then what is f(x) equal to ?
If , then what is equal to ?
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Given equation is .
Replacing with , we get:
Multiplying the first equation by , we get:
Subtracting the second equation from this, we get:
Answer: $x- \left(\dfrac{1}{3}\right)
Replacing with , we get:
Multiplying the first equation by , we get:
Subtracting the second equation from this, we get:
Answer: $x- \left(\dfrac{1}{3}\right)