Given $f ( x ) = \frac { 11 x + 8 } { 11 x ^ { 2 } + 8 x } , g ( x ) = \frac { 1 } { x }$ .Determine the domains of f(x) and g(x).
A)Domain of f(x): all real numbers except 11 and $\frac { 8 } { 11 }$ Domain of g(x): all real numbers except 0
B)Domain of f(x): all real numbers except $- \frac { 8 } { 11 }$ Domain of g(x): all real numbers except 1
C)Domain of f(x): all real numbersDomain of g(x): all real numbers
D)Domain of f(x): all real numbers except $- \frac { 11 } { 8 }$ Domain of g(x): all real numbers except 0
E)Domain of f(x): all real numbers except 0 and $- \frac { 8 } { 11 }$ Domain of g(x): all real numbers except 0

Question

Given $f ( x ) = \frac { 11 x + 8 } { 11 x ^ { 2 } + 8 x } , g ( x ) = \frac { 1 } { x }$ .Determine the domains of f(x) and g(x).  
A)Domain of f(x): all real numbers except 11 and $\frac { 8 } { 11 }$ Domain of g(x): all real numbers except 0
B)Domain of f(x): all real numbers except $- \frac { 8 } { 11 }$ Domain of g(x): all real numbers except 1
C)Domain of f(x): all real numbersDomain of g(x): all real numbers
D)Domain of f(x): all real numbers except $- \frac { 11 } { 8 }$ Domain of g(x): all real numbers except 0
E)Domain of f(x): all real numbers except 0 and $- \frac { 8 } { 11 }$ Domain of g(x): all real numbers except 0

Quizplus · Accepted Answer

The domain of $f(x)$ excludes values that make the denominator zero, which are $x = 0$ and $x = -\frac{8}{11}$. The domain of $g(x)$ excludes $x = 0$ because division by zero is undefined.

Given f(x)=11x+811x2+8x,g(x)=1xf ( x ) = \frac { 11 x + 8 } { 11 x ^ { 2 } + 8 x } , g ( x ) = \frac { 1 } { x }f(x)=11x2+8x11x+8​,g(x)=x1​

Given $f ( x ) = \frac { 11 x + 8 } { 11 x ^ { 2 } + 8 x } , g ( x ) = \frac { 1 } { x }$