Question

F(x) = 1

Answer 1

Answer:

$f(2) = 1$

${f}^{ - 1} (1) = 2$

${f}^{ - 1} (f(2)) = 2$

Step-by-step explanation:

The given function is

$f(x ) = \frac{1}{2}x$

and the inverse function is

${f}^{ - 1} (x) = 2x$

To find f(2), we substitute x=2 into the function f(x)=½x

This implies that,

$f(2) = \frac{1}{2} (2) = 1$

Similarly,

${f}^{ - 1} (1) = 2(1) = 2$

Based on the above results,

${f}^{ - 1} (f(2)) = {f}^{ - 1} (1) = 2$