Respuesta :

carlosego

Answer: [tex]y^{-1}=-1[/tex]

Step-by-step explanation:

Rewrite the function as following:

[tex]y=5(x+4)-6[/tex]

Now, you must solve for x as you can see below:

[tex]y=5x+20-6\\y=5x+14\\y-14=5x\\x=\frac{y-14}{5}[/tex]

Rewrite it as following:

[tex]y=\frac{x-14}{5}[/tex]

Now substitute x=9 into the function above, then, you obtain:

[tex]y=\frac{9-14}{5}[/tex]

[tex]y^{-1}=-1[/tex]

Answer:

[tex]f^{-1}(9) = -1[/tex]

Step-by-step explanation:

If f(x) = 5(x+4)-6

Then we have to find the inverse of this first.

Let the function is in the form of y = 5(x+4) - 6

then 5(x+4) = y + 6

x + 4 = (y + 6)/5

x = (y + 6)/5 - 4

Now converting this equation to the inverse of the function

[tex]f^{-1}[/tex] = (x+6)/5 - 4

Now [tex]f^{-1}(9)[/tex] = (9 + 6)/5 - 4

= 15/5 - 4 = 3 - 4 = (-1)

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