What equation represents the inverse of y = e^2x - 9?

The inverse of this function is y =

You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.

y = ----> Switch the x and y

x = -----> Add 9 to both sides

x + 9 = ----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.

ln(x + 9) = 2y ----> Divide both sides by 2.

y =

This will be your inverse function.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

you just switch the numbers basically so it would be 3/17