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Sagot :

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.

  • Swap x and y

x=-1/2y+3

  • Solve for y

x-3=-1/2y

-2x+6=y

Now plug 0 in for x

0+6=6

so 6 is the value of inverse function.

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