Respuesta :
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
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