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 $f(x) = x^2$ by $g(x) = 7x - 3$ gives $\frac{x^2}{7x - 3}$. The domain excludes $x = \frac{3}{7}$ because $g(x) = 0$ at $x = \frac{3}{7}$, making the denominator zero, which is undefined.

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) $f ( x ) = x ^ { 2 } , g ( x ) = 7 x - 3$