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GUJCET · Maths · Relations and Functions
\(f: z \rightarrow z, f(x)=x^3+2\) then, \(f\) is ____________ .
- A one-one and onto
- B one-one but not onto
- C not one-one but onto
- D neither one-one nor onto
Answer & Solution
Correct Answer
(B) one-one but not onto
Step-by-step Solution
Detailed explanation
\(f(x_1) = f(x_2) \Rightarrow x_1^3+2 = x_2^3+2 \Rightarrow x_1^3 = x_2^3 \Rightarrow x_1 = x_2\) \(f\) is one-one.
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