For the given functions f(x) and g(x), find (f ∙ g)(x) or $ \left(\frac{f}{g}\right)(x) $ as indicated.
-$$f ( x ) = x ^ { 2 } + 4$$
A) Domain: $( - \infty , \infty )$
Range: $[ 4 , \infty )$

B) Domain: $[ 4 , \infty )$
Range: $( - \infty , \infty )$

C) Domain: $( - \infty , \infty )$
Range: $( - \infty , 4 ]$

D) Domain: $( - \infty , \infty )$
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.
-$$f ( x ) = x ^ { 2 } + 4$$
A) Domain: $( - \infty , \infty )$
Range: $[ 4 , \infty )$

B) Domain: $[ 4 , \infty )$ 
Range: $( - \infty , \infty )$

C) Domain: $( - \infty , \infty )$
Range: $( - \infty , 4 ]$

D) Domain: $( - \infty , \infty )$
Range: $( - \infty , \infty )$

Quizplus · Accepted Answer

To find (f ∙ g)(x), we need another function g(x). Since we don't have one, we cannot find (f ∙ g)(x). However, we can find $\left(\frac{f}{g}\right)(x)$, but since we don't have a second function, we cannot find it either. Therefore, the only choice that is applicable based on the given function f(x) is A, which gives the domain and range of f(x).

For the Given Functions F(x) and G(x), Find (F ∙ (fg)(x) \left(\frac{f}{g}\right)(x) (gf​)(x)

For the Given Functions F(x) and G(x), Find (F ∙ $\left(\frac{f}{g}\right)(x)$