# How do you evaluate the function f(x) = 1/3x + 5 at x = 6?

Mar 3, 2018

$f \left(6\right) = 7$

#### Explanation:

$f \left(x\right) = \frac{1}{3} x + 5$

Substitute in the value x=6:
$f \left(6\right) = \frac{1}{3} \left(6\right) + 5$

Simplify
$f \left(6\right) = 2 + 5 = 7$

Hence:
$f \left(6\right) = 7$

Mar 3, 2018

See explanation.

#### Explanation:

To calculate the value of a function at the specified point you have to substitute the given value for any occurance of the unknown (usually $x$) in the function formula.

Here the variable is $x$ and the value is $6$. The substitution is:

$f \left(\textcolor{red}{6}\right) = \frac{1}{3} \cdot \textcolor{red}{6} + 5 = 2 + 5 = 7$