Find
$( f / g ) ( x )$ $f ( x ) = \frac { 1 } { x ^ { 2 } } , \quad g ( x ) = \frac { 1 } { x ^ { 5 } }$
A) $\frac { 1 } { x ^ { 5 } }$
B) $x ^ { 3 }$
C) $\frac { 1 } { x ^ { 2 } }$
D) $x ^ { \gamma }$
E) $\frac { 1 } { x ^ { 7 } }$

Question

Find 
$( f / g ) ( x )$ $f ( x ) = \frac { 1 } { x ^ { 2 } } , \quad g ( x ) = \frac { 1 } { x ^ { 5 } }$
A) $\frac { 1 } { x ^ { 5 } }$
B) $x ^ { 3 }$
C) $\frac { 1 } { x ^ { 2 } }$
D) $x ^ { \gamma }$
E) $\frac { 1 } { x ^ { 7 } }$

Quizplus · Accepted Answer

To find $( f / g ) ( x )$, you divide $f(x)$ by $g(x)$, which gives $\frac{\frac{1}{x^2}}{\frac{1}{x^5}}$. Simplifying this expression, you multiply by the reciprocal of the denominator to get $\frac{1}{x^2} \cdot \frac{x^5}{1} = x^{5-2} = x^3$.

Find (f/g)(x)( f / g ) ( x )(f/g)(x) f(x)=1x2,g(x)=1x5f ( x ) = \frac { 1 } { x ^ { 2 } } , \quad g ( x ) = \frac { 1 } { x ^ { 5 } }f(x)=x21​,g(x)=x51​

Find $( f / g ) ( x )$ $f ( x ) = \frac { 1 } { x ^ { 2 } } , \quad g ( x ) = \frac { 1 } { x ^ { 5 } }$