Question

fill in the table using this function rule.
$f(x)=\sqrt{x - 5}$
simplify your answers as much as possible.
click
ot a real number\ if applicable.

$x$	$f(x)$
5
9
54

Explanation:

Step1: For \( x = 4 \)

Substitute \( x = 4 \) into \( f(x)=\sqrt{x - 5} \). We get \( f(4)=\sqrt{4 - 5}=\sqrt{-1} \). Since the square root of a negative number is not a real number, \( f(4) \) is not a real number.

Step2: For \( x = 5 \)

Substitute \( x = 5 \) into \( f(x)=\sqrt{x - 5} \). We get \( f(5)=\sqrt{5 - 5}=\sqrt{0}=0 \).

Step3: For \( x = 9 \)

Substitute \( x = 9 \) into \( f(x)=\sqrt{x - 5} \). We get \( f(9)=\sqrt{9 - 5}=\sqrt{4}=2 \).

Step4: For \( x = 54 \)

Substitute \( x = 54 \) into \( f(x)=\sqrt{x - 5} \). We get \( f(54)=\sqrt{54 - 5}=\sqrt{49}=7 \).

Answer:

\( x \)	\( f(x) \)
5	0
9	2
54	7