Answer:
[tex]f^{-1}(x) = -\frac{x}{2} +2[/tex]
Step-by-step explanation:
Consider the real number y such that f ⁻¹(x) = y
[tex]f^{-1}\left( x\right) =y\Longleftrightarrow f\left( y\right) =x[/tex]
We need to find y in order to determine the expression of f ⁻¹(x)
f(y) = x ⇔ -2y + 4 = x
⇔ 4 - x = 2y
⇔ y = (4 - x)/2
[tex]\Longleftrightarrow y=-\frac{x}{2} +2[/tex]
