How do you find the inverse of $f (x) = 6 x - 4$ $f(x) = 6x - 4$ ?

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How do you find the inverse of $f (x) = 6 x - 4$ $f(x) = 6x - 4$ ?

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Answer 1 · 2015-10-04T15:45:42

$f^{- 1} (x) = \frac{x + 4}{6}$ $f^(-1)(x)=(x+4)/6$

Explanation:

First, switch the positions of $x$ $x$ and $y$ $y$ .
$y = 6 x - 4$ $y=6x-4$
Inverse: $x = 6 y - 4$ $x=6y-4$ .

Next, isolate $y$ $y$ .
$x = 6 y - 4$ $x=6y-4$
$x + 4 = 6 y$ $x+4=6y$
$(\frac{1}{6}) (x + 4) = (\frac{1}{6}) 6 y$ $(1/6)(x+4)=(1/6)6y$
$y = \frac{x + 4}{6}$ $color(red)(y=(x+4)/6)$

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How do you find the inverse of $f (x) = 6 x - 4$ $f(x) = 6x - 4$ ?

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How do you find the inverse of f(x)=6x−4f(x) = 6x - 4?

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How do you find the inverse of $f (x) = 6 x - 4$ $f(x) = 6x - 4$ ?