Answer:
[tex]f(2) = 1[/tex]
[tex]{f}^{ - 1} (1) = 2[/tex]
[tex] {f}^{ - 1} (f(2)) = 2[/tex]
Step-by-step explanation:
The given function is
[tex]f(x ) = \frac{1}{2}x[/tex]
and the inverse function is
[tex] {f}^{ - 1} (x) = 2x[/tex]
To find f(2), we substitute x=2 into the function f(x)=½x
This implies that,
[tex]f(2) = \frac{1}{2} (2) = 1[/tex]
Similarly,
[tex] {f}^{ - 1} (1) = 2(1) = 2[/tex]
Based on the above results,
[tex] {f}^{ - 1} (f(2)) = {f}^{ - 1} (1) = 2[/tex]
