Find a formula for the inverse of the function.

f(x) = e^5x − 7
f^-1(x) = ?

Please wait until I post my own attempt.

Question

Find a formula for the inverse of the function.

f(x) = e^5x − 7
f^-1(x) = ?

Please wait until I post my own attempt.

korosh23 · Answer

This is the question:

$$f(x)=e^{5x-7}$$
$$f^-1(x)=?$$

My own attempt:

$$\frac{ \log_{e (y) +7}  }{5 } = x$$

korosh23 · Answer

I know my solution is wrong, but I cannot understand where is my mistake?

bobo-i-bo · Answer

Is it $e^{5x-7}$ or $e^{5x}-7$?

korosh23 · Answer

the first one you said

bobo-i-bo · Answer

then it's because you've done stuff in the wrong order... working out please? :)

korosh23 · Answer

what should I do then?

bobo-i-bo · Answer

please show me your working out

korosh23 · Answer

y = e^5x-7
f^-1(y) = e^5x -7

bobo-i-bo · Answer

please show all the step by step working. That will show you where you went wrong :)