how to find the inverse of a function for example `f(x)=4x - (3/-4)`?

f(x) is alway refer to a function for example y. so I'll use f(x)=y

First we have to see if we can simplify the equation `y=4x - (3/-4)` and we have - at the denominator so we have `y=4x +3/4`

Solve for x by subtracting `-3/4` from both side

`y-3/4=4x+3/4-3/4`

`y-3/4=4x`

now we want to get rid of 4 beside x so we divide both side by 4

`(y-3/4)/4=(4x)/4` and 4 on the right cancels out and we have:

`(y-3/4)/4=x`

let's rewrite it as `x=(y-3/4)/4` and simplify it.

4 is common for both terms and we can rewrite it as `x=y/4-(3/4)/4` . Now the `(3/4)/4` can be written as `3/4-:4=3/4*1/4=(3(1))/((4)(4))=3/16` we write our equation

`x=y/4-3/16`

Now simply switch x and y and our equation is inversed:

`y=x/4-3/16`