Garrett Sandoval
02/17/2023 · Elementary School
If \( K(x)=|x+3|+9 \), find \( K(-7) \).
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find \( K(-7) \) using the function \( K(x) = |x + 3| + 9 \), we first substitute \( -7 \) for \( x \):
\[
K(-7) = |-7 + 3| + 9
\]
Next, we simplify the expression inside the absolute value:
\[
-7 + 3 = -4
\]
Now we take the absolute value:
\[
|-4| = 4
\]
Now we can substitute this back into the equation for \( K(-7) \):
\[
K(-7) = 4 + 9
\]
Finally, we perform the addition:
\[
K(-7) = 13
\]
Thus, the value of \( K(-7) \) is
\[
\boxed{13}
\]
Quick Answer
\( K(-7) = 13 \)
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