How do you find the inverse of $f(x) = 3x – 6$ and is it a function?

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Answer 1 · 2018-05-23T07:37:03

$1/3(x+6)$

Given: $f(x)=3x-6$ .

Let $y=f(x)$ , and so:

$y=3x-6$ .

Trade places between $x$ and $y$ .

$:.x=3y-6$

Solve for $y$ .

$x+6=3y$

$y=(x+6)/3$

Now the new $y$ is the inverse, and so $y=f^-1(x)$ .

$:.f^-1(x)=1/3(x+6)$

How do you find the inverse of f(x) = 3x – 6 f(x) = 3x – 6 and is it a function?