The function $f$ is defined by $f(x)=\dfrac{1}{6 x}$. What is the value of $f(x)$ when $x=3$?

To find the value of the function $ f $ at $ x = 3 $ for the given function $ f(x) = \dfrac{1}{6x} $, we need to substitute $ x = 3 $ into the function:

\[
f(3) = \dfrac{1}{6 \cdot 3}
\]

Now, perform the multiplication in the denominator:

\[
6 \cdot 3 = 18
\]

So, the function simplifies to:

\[
f(3) = \dfrac{1}{18}
\]

Thus, the value of $ f(x) $ when $ x = 3 $ is:

\[
f(3) = \dfrac{1}{18}
\]

Would you like more details or have any questions? Here are 5 more questions you might be interested in:

1. How do you find the derivative of the function $ f(x) = \dfrac{1}{6x} $?
2. What is the integral of $ f(x) = \dfrac{1}{6x} $?
3. Can you find the value of $ f(x) $ when $ x = 6 $?
4. How do you solve for $ x $ if $ f(x) = \dfrac{1}{18} $?
5. What is the range of the function $ f(x) = \dfrac{1}{6x} $?

**Tip:** When dealing with fractions in functions, always simplify the expression step-by-step to avoid errors.

Learn how to calculate the value of the function f(x) = 1/(6x) at x = 3 with a step-by-step solution. This problem involves a fractional function and basic algebraic operations. Suitable for students in Grades 7-9.

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