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A function is denoted as y = f (x), where x is the argument or input of the function. This means that from  f(6) follows that x= 6, and to get the answer we should replace x with 6.

f(6)=6^2÷ 3 + 6= 36÷ 3 + 6= 12+6= 18

f(6)=18

Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

\(f(x) = x^2 \div 3+ x\)               .....[1]

We have to find the value of \(f(6)\).

Put x = 6 in [1] we have;

\(f(6) = 6^2 \div 3+ 6\)

⇒\(f(6) = 36 \div 3 +6\)

⇒\(f(6) = \frac{36}{3}+6\)

Simplify:

\(f(6) = 12 +6 = 18\)

Therefore, the value of f(6) is, 18