Question

Given f(x) = (1/3)(4 - x)^2, what is the value of f(16)?

a) f(16) = 20
b) f(16) = 21
c) f(16) = 22
d) f(16) = 24

Answer 1

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.

Step-by-step 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.