Question

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Answer 1

Ok so to solve for an inverse function, there is a series of steps.

Step one, replace f(x) with y
f(x) = y
y = 4(x+3) - 5
Step two, interchange the x and y in the equation.
x = 4(y+3) - 5
Step three, solve for y
(You do this part)
Step four, replace y with y^-1(x)

Answer 2

Step four, replace y with \(f^{-1}(x)\).

Answer 3

Excuse me, it's not y^-1(x), it is f^-1(x),

\[f ^{-1}(x) = ...\]This is how we denote an inverse function properly