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Inverse functions

How do you work out the equation of a function inverse to another?

I got some piece of homework, I have this equation g(x) = 2e^2x + 4 and it asks me to sketch g(x) and g^-1(x)
There are some methods.
The simplest would be to write x instead of g(x) and y instead of x and then make y the subject, to get the inverse equation.

Inverse of an exponential function tend to always have a ln function

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Original post by StUdEnTIGCSE
There are some methods.
The simplest would be to write x instead of g(x) and y instead of x and then make y the subject, to get the inverse equation.

Inverse of an exponential function tend to always have a ln function

Posted from TSR Mobile

Thank you :smile: it makes sense now
Original post by mynameisntbobk
How do you work out the equation of a function inverse to another?

I got some piece of homework, I have this equation g(x) = 2e^2x + 4 and it asks me to sketch g(x) and g^-1(x)


To sketch the inverse of g(x) Just sketch g(x) and reflect in the line y=x
Original post by brianeverit
To sketch the inverse of g(x) Just sketch g(x) and reflect in the line y=x



I've seen this pattern with a few examples. My main problem was just stating the equation of the inverse function, but thank you :smile:

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