What is the inverse function of $f (x) = 4 x + 2$ $f(x) = 4x + 2$ ?

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Answer 1 · 2018-03-02T09:28:31

The inverse function is $y = \frac{x - 2}{4}$ $y=(x-2)/4$ .

First, lets rewrite the equation like this:

$y = 4 x + 2$ $y=4x+2$

In order to find the inverse of an equation, the easiest thing to do is to switch $x$ $x$ and $y$ $y$ and then isolate $y$ $y$ :

$x = 4 y + 2$ $x=4y+2$

$4 y = x - 2$ $4y=x-2$

$y = \frac{x - 2}{4}$ $y=(x-2)/4$

What is the inverse function of f(x) = 4x + 2f(x)=4x+2f(x) = 4x + 2?