Find the domain and range for the indicated function.
-$f ( x ) = 6 , \quad g ( x ) = 6 + \sqrt { x }$
$\mathrm { g } / \mathrm { f }$
A) D: $x \geq 0$
R: $y \geq 1$

B) D: $x \geq - 6$
$R : y \geq 0$

C) D: $x \geq 0$
$R : y \leq 6$

D) D: $x \geq 0$
R: $y \leq 1$

Question

Find the domain and range for the indicated function.
-$f ( x ) = 6 , \quad g ( x ) = 6 + \sqrt { x }$
$\mathrm { g } / \mathrm { f }$
A) D: $x \geq 0$
R: $y \geq 1$

B) D: $x \geq - 6$
$R : y \geq 0$

C) D: $x \geq 0$
$R : y \leq 6$

D) D: $x \geq 0$
R: $y \leq 1$

Quizplus · Accepted Answer

The function $g/f$ is defined as $\frac{g(x)}{f(x)} = \frac{6 + \sqrt{x}}{6}$. The domain is $x \geq 0$ because the square root function requires non-negative inputs. The range is $y \geq 1$ because the smallest value occurs when $x = 0$, giving $\frac{6 + \sqrt{0}}{6} = 1$, and increases as $x$ increases.

Find the Domain and Range for the Indicated Function f(x)=6,g(x)=6+xf ( x ) = 6 , \quad g ( x ) = 6 + \sqrt { x }f(x)=6,g(x)=6+x​

Find the Domain and Range for the Indicated Function $f ( x ) = 6 , \quad g ( x ) = 6 + \sqrt { x }$