Given $$f ( x ) = \frac { x ^ { 2 } + 25 } { x + 5 } , g ( x ) = x - 5$$ .Determine the domains of f(x)and g(x).
A)Domain of f(x): all real numbers except -5 Domain of g(x): all real numbers except 5
B)Domain of f(x): all real numbers Domain of g(x): all real numbers except 5
C)Domain of f(x): all real numbers Domain of g(x): all real numbers
D)Domain of f(x): all real numbers except -5 Domain of g(x): all real numbers
E)Domain of f(x): all real numbers except 5 Domain of g(x): all real numbers

Question

Given $$f ( x ) = \frac { x ^ { 2 } + 25 } { x + 5 } , g ( x ) = x - 5$$ .Determine the domains of f(x)and g(x). ​
A)Domain of f(x): all real numbers except -5 Domain of g(x): all real numbers except 5
B)Domain of f(x): all real numbers Domain of g(x): all real numbers except 5
C)Domain of f(x): all real numbers Domain of g(x): all real numbers
D)Domain of f(x): all real numbers except -5 Domain of g(x): all real numbers
E)Domain of f(x): all real numbers except 5 Domain of g(x): all real numbers

Quizplus · Accepted Answer

The domain of $f(x) = \frac{x^2 + 25}{x + 5}$ excludes -5 because substituting -5 for x results in division by zero. The domain of $g(x) = x - 5$ includes all real numbers because there are no restrictions on x.

Given f(x)=x2+25x+5,g(x)=x−5f ( x ) = \frac { x ^ { 2 } + 25 } { x + 5 } , g ( x ) = x - 5f(x)=x+5x2+25​,g(x)=x−5

Given $f ( x ) = \frac { x ^ { 2 } + 25 } { x + 5 } , g ( x ) = x - 5$