The function we have is:
[tex]f(x)=\frac{\sqrt[]{x}-7}{6}[/tex]
And we need to find the value of f(3).
To solve this problem and find f(x), we need to substitute x=3 into the given function.
• Substituting x=3 into f(x) to find f(3):
[tex]f(3)=\frac{\sqrt[]{3}-7}{6}[/tex]
And now, we start solving the operations.
Since the square root of 3 is equal to 1.732:
[tex]f(3)=\frac{1.732-7}{6}[/tex]
Substracting 7:
[tex]f(3)=\frac{-5.268}{6}[/tex]
And finally, dividing by 6:
[tex]f(3)=-0.878[/tex]
To round to the nearest thousandth we need to round to 3 decimal places, which in this case we already have, thus, the final answer is:
[tex]-0.878[/tex]
