Answer:
6
Step-by-step explanation:
2 was to solve this:
1. Definition of an Inverse Function.
A inverse function states that if we have a function f(x), by definition of a function,, we have ox and y values that map with each other. In an Inverse function, the x and y values will swap places so that y map to x.
[tex]f {}^{ - 1} (0)[/tex]
implies that what value of x will give us 0. here it is 6.
The other way is to find the equation of f(x). We have a y intercept of 3, a negative slope. And the value of the slope is 1/2 so the equation in slope y intercept form.
y=-1/2x+3.
Then we apply rules for solving for inverse of functions.
x=-1/2y+3
x-3=-1/2y
-2x+6=y
Now plug 0 in for x
0+6=6
so 6 is the value of inverse function.
