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101.	The quotient of the identity function by the reciprocal function is given by(a) x2 ∀ x ∈ R (set of real numbers) (b) \(\frac{1}{x^2}\) ∀ x ∈ R− {0} (c) x2 ∀ x ∈ R – {0} (d) None of these
Answer» Answer : (c) x² ∀ x ∈ R – {0} Identity function : I (x) = x ∀ x ∈ R Reciprocal function : f (x) = \(\frac{1}{x}\) ∀ x ∈ R, x ≠ 0 ∴ Required quotient = \(\frac{I(x)}{f(x)}\)= \(\frac{x}{\frac{1}{x}}\) ∀ x ∈ R , x ≠ 0 = x² ∀ x ∈ R – {0}

101.

The quotient of the identity function by the reciprocal function is given by(a) x2 ∀ x ∈ R (set of real numbers) (b) \(\frac{1}{x^2}\) ∀ x ∈ R− {0} (c) x2 ∀ x ∈ R – {0} (d) None of these

Answer»

Answer : (c) x² ∀ x ∈ R – {0}

Identity function : I (x) = x ∀ x ∈ R

Reciprocal function : f (x) = \(\frac{1}{x}\) ∀ x ∈ R, x ≠ 0

∴ Required quotient = \(\frac{I(x)}{f(x)}\)= \(\frac{x}{\frac{1}{x}}\) ∀ x ∈ R , x ≠ 0

= x² ∀ x ∈ R – {0}

Discussion

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