For the given functions f(x) and g(x), find (f ∙ g)(x) or $ \left(\frac{f}{g}\right)(x) $ as indicated.
-$$f ( x ) = ( x - 5 ) ^ { 2 }$$
A) Domain: $( - \infty , \infty )$
Range: $[ 0 , \infty )$

B) Domain: $( - \infty , \infty )$
$\text { Range: }(-\infty, \infty)$

C) Domain: $( - \infty , \infty )$
$\text { Range: }[-5, \infty)$

D) Domain: $[ 5 , \infty ]$
$\text { Range: }(-\infty, \infty)$

Question

For the given functions f(x) and g(x), find (f ∙ g)(x) or $ \left(\frac{f}{g}\right)(x) $ as indicated.
-$$f ( x ) = ( x - 5 ) ^ { 2 }$$
A) Domain: $( - \infty , \infty )$
Range: $[ 0 , \infty )$

B) Domain: $( - \infty , \infty )$
$\text { Range: }(-\infty, \infty)$

C) Domain: $( - \infty , \infty )$
$\text { Range: }[-5, \infty)$

D) Domain: $[ 5 , \infty ]$ 
$\text { Range: }(-\infty, \infty)$

Quizplus · Accepted Answer

In order to find (f ∙ g)(x) or (f/g)(x), we need another function g(x). Since none is given, we cannot answer this question. However, part A gives the correct domain and range for f(x), which is useful information to have.

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