The quotient of the identity function by the reciprocal function is given by

Question

The quotient of the identity function by the reciprocal function is given by (A)  x2 ∀ x ∈ R (set of real numbers) (B)  (1/x2) ∀ x∈ R- 0  (C)  x2 ∀ x∈ R- 0  (D) None of the above

Tardigrade Admin · Accepted Answer

We know that An identify function is, f(x)=x ∀ x∈ R and Reciprocal function is, g(x)=(1/x) ∀ x∈ R- 0 ∴ Quotient =(f(x)/g(x))=(x/(1/x))=x2∀ x∈ R- 0

Q. The quotient of the identity function by the reciprocal function is given by

$x^{2} \forall x \in R$ (set of real numbers)

$\frac{1}{x ^{2}} \forall x \in R - {0}$

$x^{2} \forall x \in R - {0}$

$N o n e o f t h e ab o v e$

We know that An identify function is,
$f (x) = x \forall x \in R$ and Reciprocal function is,
$g (x) = \frac{1}{x} \forall x \in R - {0}$
$∴$ Quotient
$= \frac{f ( x )}{g ( x )} = \frac{x}{( 1/ x )} = x^{2} \forall x \in R - {0}$

Q. The quotient of the identity function by the reciprocal function is given by

x2∀x∈R (set of real numbers)

x21​∀x∈R−{0}

x2∀x∈R−{0}

Noneoftheabove

We know that An identify function is, f(x)=x∀x∈R and Reciprocal function is, g(x)=x1​∀x∈R−{0} ∴ Quotient =g(x)f(x)​=(1/x)x​=x2∀x∈R−{0}

$x^{2} \forall x \in R$ (set of real numbers)

$\frac{1}{x ^{2}} \forall x \in R - {0}$

$x^{2} \forall x \in R - {0}$

$N o n e o f t h e ab o v e$

We know that An identify function is,
$f (x) = x \forall x \in R$ and Reciprocal function is,
$g (x) = \frac{1}{x} \forall x \in R - {0}$
$∴$ Quotient
$= \frac{f ( x )}{g ( x )} = \frac{x}{( 1/ x )} = x^{2} \forall x \in R - {0}$