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Prove that the function f : R → Rdefined by f(x) = 2x + 5 is one-one. |
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Answer» Solution : Here, F(X)=2X A function is a one-one function such that f(X1)=f(x2) only if x1=x2. Here, f(x1)=2x1 f(x2)=2X2 If f(x1)=f(x2), then, 2x1=2x2⇒x1=x2 ∴f(x) is one-one function. Now, for any value of x, we have a different value of f(x). That means, f(x) is onto function also.Explanation: |
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