Question

Question #5fe22

Answer 1

`f^(-1)(x)=-x+3/4`

Explanation:

To find the inverse we need to write the original function as a function of `y`:

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

`y=3/4-x`

Multiply by 4:

`4y=3-4x`

Subtract 3:

`4y-3=-4x`

Divide by `color(white)(88)-4`:

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

`-y+3/4=x`

Substitute `y=x`

`-x+3/4=y`

So inverse is:

`f^(-1)(x)=-x+3/4`

Note

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

So the function is its own inverse.