find the inverse formula for the function f(x)= 3x-7

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Given the function f(x) = 3x - 7.

We need to find the inverse function f^-1 (x).

First we will rewrite.

Let y = 3x - 7.

The goal is to isolate x on one side.

Now we will add 7 to both sides.

==> y + 7 = 3x...

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Given the function f(x) = 3x - 7.

We need to find the inverse function f^-1 (x).

First we will rewrite.

Let y = 3x - 7.

The goal is to isolate x on one side.

Now we will add 7 to both sides.

==> y + 7 = 3x - 7 + 7

==> y + 7 = 3x

Now we will divide by 3:

==> (y+ 7) /3 = x

==> x = ( y+ 7) /3

Now we will rewrite x as y and y as x:

==> y= (x+ 7) /3

==> Then the inverse of f(x) = (x+ 7) /3

==> f^-1 ( x) = (x+ 7) /3

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