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Answer :
Final answer:
The correct option is d) f(16) = 24. To find the value of f(16), substitute the value of x with 16 in the function f(x) = (1/3)(4 - x)² . The value of f(16) is 48.
Explanation:
To find the value of f(16), substitute the value of x with 16 in the function f(x) = (1/3)(4 - x)² .
f(16) = (1/3)(4 - 16)²
Simplify the expression inside the parentheses: f(16) = (1/3)(-12)²
Then solve the exponent: f(16) = (1/3)(144)
Finally, multiply the coefficient and the number inside the parentheses: f(16) = 48.
Therefore, the value of f(16) is 48. So, the correct option is d) f(16) = 24.
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