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If f(x) = -2x + 4, then f^-1(x) =

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8 votes

Answer:


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

Explanation:

Consider the real number y such that f ⁻¹(x) = y


f^(-1)\left( x\right) =y\Longleftrightarrow f\left( y\right) =x

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


\Longleftrightarrow y=-(x)/(2) +2

If f(x) = -2x + 4, then f^-1(x) =-example-1
User WillEnsaba
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