Find (f / g)(x).What is the domain of f / g
$f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$
A) $- \frac { x ^ { 2 } } { 7 x - 3 }$ ; all real numbers x.
B) $\frac { 7 x + 3 } { x ^ { 2 } }$ ; all real numbers x except x = 0
C) $\frac { x ^ { 2 } } { 7 x - 3 }$ ; all real numbers x except x = $\frac { 3 } { 7 }$
D) $\frac { 7 x - 3 } { x ^ { 2 } }$ ; all real numbers x except x = 0
E) $\frac { x ^ { 2 } } { 7 x + 3 }$ ; all real numbers x except x = $\frac { 7 } { 3 }$

Question

Find (f / g)(x).What is the domain of f / g
 $f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$  
A) $- \frac { x ^ { 2 } } { 7 x - 3 }$ ; all real numbers x.
B) $\frac { 7 x + 3 } { x ^ { 2 } }$ ; all real numbers x except x = 0
C) $\frac { x ^ { 2 } } { 7 x - 3 }$ ; all real numbers x except x = $\frac { 3 } { 7 }$
D) $\frac { 7 x - 3 } { x ^ { 2 } }$ ; all real numbers x except x = 0
E) $\frac { x ^ { 2 } } { 7 x + 3 }$ ; all real numbers x except x = $\frac { 7 } { 3 }$

Quizplus · Accepted Answer

The division of $f(x)$ by $g(x)$ gives $\frac{x^2}{7x-3}$. The domain excludes the value that makes the denominator zero, which is $x = \frac{3}{7}$.

Find (F / G)(x) f(x)=x2,g(x)=7x−3f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3f(x)=x2,g(x)=7x−3

Find (F / G)(x) $f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$