Answer:
[tex]f(2) = 1[/tex]
[tex]f(1) = \frac{1}{2}[/tex]
[tex]f^{-1}(2)=4[/tex]
Step-by-step explanation:
Consider the provided functions.
[tex]f(x) = \frac{1}{2}x[/tex]
[tex]f^{-1}(x)=2x[/tex]
Find f(2) as shown.
Substitute x=2 in [tex]f(x) = \frac{1}{2}x[/tex]
[tex]f(2) = \frac{1}{2}\times2[/tex]
[tex]f(2) = 1[/tex]
Find f(1) as shown.
Substitute x=1 in [tex]f(x) = \frac{1}{2}x[/tex]
[tex]f(1) = \frac{1}{2}[/tex]
Find f'(2) as shown.
Substitute x=2 in [tex]f^{-1}(x)=2x[/tex]
[tex]f^{-1}(2)=2(2)[/tex]
[tex]f^{-1}(2)=4[/tex]
