find the inverse of the function f(x)=4x-5

f^-1(x)=

Simplify your answer

To find the inverse of the function f(x) = 4x - 5, we need to switch the roles of x and y and solve for y.

So, let's start by swapping x and y in the function:

x = 4y - 5

Now, we can solve for y:

x + 5 = 4y

Divide both sides by 4:

(x + 5)/4 = y

Therefore, the inverse of the function f(x) = 4x - 5 is f^(-1)(x) = (x + 5)/4.