Answer:
The inverse of f is
[tex]g(x) = 2x[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{1}{2}x[/tex]
A function g is the inverse of function f if for y = f(x), x = g(y)
[tex]y=\frac{1}{2}x[/tex]
Replace x with y
[tex]x=\frac{1}{2}y[/tex]
Solve for y
[tex]y = 2x[/tex]
Therefore, the inverse of f is
[tex]g(x) = 2x[/tex]
