Inverse Function Help

[merikukri]

Let Y=F(x) = e^x^27...Find the formula for the inverse function, Y=f^-1 (x)...
Graph Y=f(x) and Y = f^-1 (x)

 

[stapel]

Is this "e^{x^27}" or "(e^x)²⁷ = e^27x"?

Thank you.

Eliz.

 

[merikukri]

Is this "e^{x^27}" or "(e^x)²⁷ = e^27x"?

Thank you.

Eliz.

e^{x^27}

sorry abt the confusion...don't know how to write these notation in website

 

[stapel]

Take logs of each side. Then take twenty-seventh roots. This should suffice to isolate x.

Then switch the variables and rewrite as the inverse.

Eliz.

 

[merikukri]

Take logs of each side. Then take twenty-seventh roots. This should suffice to isolate x.

Then switch the variables and rewrite as the inverse.

Eliz.

I am not goot at logs...can you help me

 

[stapel]

What part are you having trouble with?

You've taken the logs of both sides. You've applied the power-insde-a-log rule to take the exponent outside of the log. Assuming you used the natural log, you now have the variable portion isolated....

Please reply showing your work, and specifying where you are having trouble. Thank you.

Eliz.