Respuesta :

Answer:

f^-1(x) = (2x+3)/4

Step-by-step 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