Hi Yittel,
So, let us first understand that you can rewrite the first equation as y = 8x + 16. Remember that f(x) can be written as y. When finding the inverse of a function, all you do is swap the x and y in the first equation and then solve for y. I will show you below:
f(x) = 8x +16
y = 8x + 16
x = 8y + 16 <-- I swapped x and y
x - 16 = 8y <-- Subtracted 16 on both sides
(x-16)/8 = y <-- Divided by 8 on both sides
To simply this:
y = (x/8) - 2 <-- Simplified the equation by dividing 8 to both terms, first one is x/8 and the second one is -16/8 = -2
For this new equation, our new y behaves as the inverse of the original y, so you can write either y-1 or f(x)-1
y-1 = f(x)-1 = (x/8) - 2
Hope this helps, and if you need more help, just reply to this response!
