How do you find the inverse of $y=2(3)^x +1$ ?

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Answer 1 · 2015-11-25T09:54:15

To find the inverse function you have to transform the formula $y=f(x)$ to $x=f(y)$ . For this example see explanation:

You have a function:

$y=2*(3^x)+1$

Now we are trying to calculate $x$ :

$y-1=2*3^x$

$(y-1)/2=3^x$

$x=log_3 ((y-1)/2)$

Answer: The inverse function is: $f(x)=log_3((x-1)/2)$

Note: In the answer you usualy write the inverse function as: $y=f(x)$ .

How do you find the inverse of y=2(3)^x +1y=2(3)^x +1?