f(𝑥) and g(𝑦) are functions of x and y, respectively, and f(𝑥) = g(𝑦) for…
GATE · 2023 · CS · General Aptitude
f(𝑥) and g(𝑦) are functions of x and y, respectively, and f(𝑥) = g(𝑦) for all real values of 𝑥 and 𝑦. Which one of the following options is necessarily TRUE for all x and y?
- A.
f(x)=0 and g(y)=0
- B.
f(x)=g(y)=constant
- C.
f(x) ≠ constant and g(y) ≠ constant
- D.
f(x)+g(y)=f(x)-g(y)
Attempted by 488 students.
Sign up free to check your answer
Sign up freeLoading lesson…