Important: write this function as y = e^(2x) - 9. " ^ " indicates exponentiation.
To find the inverse function:
1) interchange x and y. y becomes x and x becomes y: x = e^(2y) - 9
2) solve this result for y:
e^(2y) = x + 9 Take the natural log of both sides:
2y = ln(x+9) (domain is restricted to "x is greater than -9")
ln(x+9)
Then y = -----------
2
This is the inverse function of y = e^(2x) - 9.