Question

Find f(16) is f(x)=x*x/3+x

Answer 1

To calculate f(16) for the function f(x)=x*x/3+x, substitute 16 for x, follow the order of operations, and simplify the resulting fractions to obtain the result, which is f(16) = 304/3 or approximately 101.33.

Step-by-step explanation:

To find f(16) when f(x) is given by f(x)=x*x/3+x, we simply substitute x with 16 and follow the operations indicated.

Step 1: Substitution. Replace x with 16,
f(16) = 16*16/3 + 16

Step 2: Perform multiplication,
f(16) = 256/3 + 16

Step 3: Convert 16 to thirds to combine with 256/3,
f(16) = 256/3 + 48/3

Step 4: Add the fractions,
f(16) = (256 + 48)/3

Step 5: Calculate the sum,
f(16) = 304/3

Step 6: Simplify the fraction (if possible). Since 304 is divisible by 3 without a remainder, the final simplified answer is,
f(16) = 304/3 or approximately f(16) = 101.33