The inverse of this function is y = x - [tex] \frac{3}{4} [/tex]
You can find the inverse of any function by switching the x and y values and then solving for the new y value. Once you've done that, what will be left over is the inverse function.
y = [tex] \frac{3}{4} + x [/tex] ----> Swap x and y
x = [tex] \frac{3}{4} + x [/tex] -----> Subtract 3/4 from both sides.
x - [tex] \frac{3}{4} [/tex] = y ----> rearrange to appropriate order
y = x - [tex] \frac{3}{4} [/tex]
And that is your inverse function.