GA Q9

MCQ2 marks, −0.67

$f(x)$ and $g(y)$ are functions of $x$ and $y$ , respectively, and $f(x)=g(y)$ for all values of $x$ and $y$ . Which one of the following options is necessarily $\text{TRUE}$ for a $x$ and $y?$

(A)

$f(x)=0$ and $g(y)=0$

(B)

$f(x)=g(y)=$ constant

(C)

$f(x) \neq$ constant and $g(y) \neq$ constant

(D)

$f(x)+g(y)=f(x)-g(y)$

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