Answer:
f^-1(x) = (2x+3)/4
Explanation:
To find the inverse, exchange x and y and solve for y
y = (4x-3)/2
Exchange x and y
x = (4y-3)/2
Now solve for y
Multiply by 2
2x = (4y-3)/2*2
2x= 4y-3
Add 3 to each side
2x+3 = 4y -3+3
2x+3 = 4y
Divide by 4
(2x+3)/4 = y
f^-1(x) = (2x+3)/4