Given the function f(x)= 5(x+4) -6 solve for the inverse function when x = 9

Step-by-step explanation:

Rewrite the function as following:

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

Rewrite it as following:

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

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

= (x+6)/5 - 4

Now = (9 + 6)/5 - 4

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

step-by-step explanation: