To find k ( − 9 ) , substitute − 9 into the function k ( a ) = ∣ a ∣ − 2 . After calculating the absolute value and simplifying, we find that k ( − 9 ) = 7 .
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To solve this question, you are asked to evaluate the function k ( a ) = ∣ a ∣ − 2 at a = − 9 . This means you need to find k ( − 9 ) .
Here are the steps to find k ( − 9 ) :
Substitute − 9 into the function : The function k ( a ) is defined as k ( a ) = ∣ a ∣ − 2 . Substitute − 9 for a :
k ( − 9 ) = ∣ − 9∣ − 2
Calculate the absolute value : The absolute value of a number is its distance from zero on the number line, without considering direction. For − 9 , the absolute value is 9: ∣ − 9∣ = 9
Subtract 2 from the absolute value : After finding the absolute value, subtract 2: 9 − 2 = 7
Therefore, the value of k ( − 9 ) is 7 .