Given $f ( x ) = \frac { x ^ { 2 } + 49 } { x + 7 } , g ( x ) = x - 7$ .Determine the domains of f(x)and g(x).
A)Domain of f(x): all real numbers except -7 Domain of g(x): all real numbers except 7
B)Domain of f(x): all real numbers Domain of g(x): all real numbers except 7
C)Domain of f(x): all real numbers Domain of g(x): all real numbers
D)Domain of f(x): all real numbers except -7 Domain of g(x): all real numbers
E)Domain of f(x): all real numbers except 7 Domain of g(x): all real numbers

Question

Given $f ( x ) = \frac { x ^ { 2 } + 49 } { x + 7 } , g ( x ) = x - 7$ .Determine the domains of f(x)and g(x). ​
A)Domain of f(x): all real numbers except -7 Domain of g(x): all real numbers except 7
B)Domain of f(x): all real numbers Domain of g(x): all real numbers except 7
C)Domain of f(x): all real numbers Domain of g(x): all real numbers
D)Domain of f(x): all real numbers except -7 Domain of g(x): all real numbers
E)Domain of f(x): all real numbers except 7 Domain of g(x): all real numbers

Quizplus · Accepted Answer

The domain of $f(x) = \frac{x^2 + 49}{x + 7}$ excludes $x = -7$ to avoid division by zero. The domain of $g(x) = x - 7$ includes all real numbers since it's a linear function with no restrictions.

Given f(x)=x2+49x+7,g(x)=x−7f ( x ) = \frac { x ^ { 2 } + 49 } { x + 7 } , g ( x ) = x - 7f(x)=x+7x2+49​,g(x)=x−7

Given $f ( x ) = \frac { x ^ { 2 } + 49 } { x + 7 } , g ( x ) = x - 7$