Respuesta :


for
y
y
.
f

1
(
x
)
=

3
2
+
x
2
y = 2x + 3

Let y = f(x), solving for the inverse function is solving for x

y = 2x + 3

2x + 3 = y

2x  = y - 3

x = (y - 3)/2

Recall that  y = f(x), that implies that x = f⁻¹( y)

x = (y - 3)/2,   substitute x = f⁻¹( y)

f⁻¹( y) = (y - 3)/2

if  f⁻¹( y) = (y - 3)/2, then:  Replace the y with x.

f⁻¹(x) = (x - 3)/2