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24-01-2022
Mathematics

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Identify the inverse of the function f(x) = −3x + 4.

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semsee45 semsee45

24-01-2022

Answer:

[tex]f^{-1}(x)=-\frac{1}{3} (x-4)[/tex]

Step-by-step explanation:

[tex]f(x) = -3x + 4[/tex]

[tex]x = -3y + 4[/tex]

[tex]x-4=-3y[/tex]

[tex]-\frac{1}{3} (x-4)=y[/tex]

⇒ [tex]f^{-1}(x)=-\frac{1}{3} (x-4)[/tex]

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