What is the inverse relation of thr function f(x) = -7/2x+4

The inverse of the function is

Explanation:

The given function is

To determine the inverse of a function, we need to interchange the variables and solve for y.

Let us interchange the variables x and y

Thus, we have,

Now, we shall solve for y

Subtracting both sides of the equation by 4, we get,

Multiplying both sides of the equation by , we get,

Switch sides, we have,

Multiplying the terms within the bracket, we have,

Thus, the inverse of the function is