f(x)= array ll x, & if x is rational 0, & if x is irrational array , . and g(x)= array l…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
\(f(x)=\left\{\begin{array}{ll}
x, & \text { if } x \text { is rational } \\
0, & \text { if } x \text { is irrational }
\end{array},\right.\)
\(\text { and } g(x)=\left\{\begin{array}{l} 0, \text { if } x \text { is rational } \\ x, \text { if } x \text { is irrational } \end{array} \text {. Then } f-g\right. \text { is }\)
\(\text { and } g(x)=\left\{\begin{array}{l} 0, \text { if } x \text { is rational } \\ x, \text { if } x \text { is irrational } \end{array} \text {. Then } f-g\right. \text { is }\)
- neither one-one nor onto
- one-one and onto
- one-one and into
- many one and onto
Answer
(B) one-one and onto
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