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Ugo [173]
3 years ago
10

Find inverse of f(x)=3x+1

Mathematics
1 answer:
Ratling [72]3 years ago
6 0
First, replace f(x) with y.

So we have now:

y = 3x + 1

Next, switch the x and y.

We get:

x = 3y + 1

Finally, solve for y.

3y = x - 1

y = x/3 - 1/3

So, we have f(x) = 3x + 1, and the inverse of this function is:

\boxed{f^{-1}(x) = \frac{1}{3} x - \frac{1}{3}}\\\\OR\\\\\boxed{f^{-1}(x) = \frac{x-1}{3}}
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