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If the function f:NtoN is defined by f(x...

If the function `f:NtoN` is defined by `f(x)=sqrtx`, then find `(f(25))/(f(16)+f(1))`.

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To solve the problem, we need to evaluate the expression \(\frac{f(25)}{f(16) + f(1)}\) where the function \(f\) is defined as \(f(x) = \sqrt{x}\). ### Step-by-step Solution: 1. **Calculate \(f(25)\)**: \[ f(25) = \sqrt{25} = 5 \] 2. **Calculate \(f(16)\)**: \[ f(16) = \sqrt{16} = 4 \] 3. **Calculate \(f(1)\)**: \[ f(1) = \sqrt{1} = 1 \] 4. **Sum \(f(16)\) and \(f(1)\)**: \[ f(16) + f(1) = 4 + 1 = 5 \] 5. **Substitute into the expression**: \[ \frac{f(25)}{f(16) + f(1)} = \frac{5}{5} \] 6. **Simplify the fraction**: \[ \frac{5}{5} = 1 \] ### Final Answer: The value of \(\frac{f(25)}{f(16) + f(1)}\) is \(1\).
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  • If function f:NtoN is defined by f(x)=2x+3 , for all x inN then f is

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    surjective
    B
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    One-one but not onto
    B
    Surjective but not injective
    C
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    D
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