Answer:
approximately 1.13
Step-by-step explanation:
[tex](f \circ f) = f(f(3))[/tex]
Working from the inside...
[tex]f(3) = 3^{-3} =\frac{1}{3^3} = \frac{1}{27}[/tex]
Now put this result back into f again.
[tex]f(\frac{1}{27})=\left(\frac{1}{27}\right)^\frac{1}{27}[/tex]
Use a calculator to approximate this; the result is 1.13.
Note: an "exact" answer is [tex]\frac{1}{\sqrt[27]{\frac{1}{27}}}[/tex].
