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Find the inverse of each of the given functio f(x)=4x-12 f^-1(x)=square x+square

Pergunta

Find the inverse of each of the given functio
f(x)=4x-12
f^-1(x)=square x+square

Find the inverse of each of the given functio f(x)=4x-12 f^-1(x)=square x+square

Solução

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FátimaProfissional · Tutor por 6 anos

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To find the inverse of the function $f(x) = 4x - 12$, we need to follow these steps:<br /><br />1. Replace $f(x)$ with $y$: $y = 4x - 12$<br />2. Swap $x$ and $y$: $x = 4y - 12$<br />3. Solve for $y$: $y = \frac{x + 12}{4}$<br /><br />Therefore, the inverse function is $f^{-1}(x) = \frac{x + 12}{4}$.
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