Answer :
We are given the function
[tex]$$
f(x) = -\sqrt{-84 - x}.
$$[/tex]
To find [tex]$f(-100)$[/tex], we follow these steps:
1. Substitute [tex]$x = -100$[/tex] into the function:
[tex]$$
f(-100) = -\sqrt{-84 - (-100)}.
$$[/tex]
2. Simplify the expression under the square root. Notice that subtracting a negative number is equivalent to adding:
[tex]$$
-84 - (-100) = -84 + 100 = 16.
$$[/tex]
3. Now, take the square root of [tex]$16$[/tex]:
[tex]$$
\sqrt{16} = 4.
$$[/tex]
4. Finally, apply the negative sign in front of the square root:
[tex]$$
f(-100) = -4.
$$[/tex]
Thus, the answer is
[tex]$$
f(-100) = -4.
$$[/tex]
[tex]$$
f(x) = -\sqrt{-84 - x}.
$$[/tex]
To find [tex]$f(-100)$[/tex], we follow these steps:
1. Substitute [tex]$x = -100$[/tex] into the function:
[tex]$$
f(-100) = -\sqrt{-84 - (-100)}.
$$[/tex]
2. Simplify the expression under the square root. Notice that subtracting a negative number is equivalent to adding:
[tex]$$
-84 - (-100) = -84 + 100 = 16.
$$[/tex]
3. Now, take the square root of [tex]$16$[/tex]:
[tex]$$
\sqrt{16} = 4.
$$[/tex]
4. Finally, apply the negative sign in front of the square root:
[tex]$$
f(-100) = -4.
$$[/tex]
Thus, the answer is
[tex]$$
f(-100) = -4.
$$[/tex]
