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C3 - Inverses Help Please. :)

Hello there,

I have to find the inverse of f(x) = 1/ sqrt(x + 2).

I know that u just make x the subject but I am confused what to do with the sqaure root, any help please.

Thanks! :smile:
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rnd
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FutureMedic
Hello there,

I have to find the inverse of f(x) = 1/ sqrt(x + 2).

I know that u just make x the subject but I am confused what to do with the sqaure root, any help please.

Thanks! :smile:


You can start by squaring both sides and then take the reciprocal of both sides. That leaves you one step to do. Once you have the correct function don't forget to consider what its doman is.
rnd
You can start by squaring both sides and then take the reciprocal of both sides. That leaves you one step to do. Once you have the correct function don't forget to consider what its doman is.


What exactly are you squaring on the LHS? If you are suggesting it being y then you dont want y^2 on the LHS

OP

write x as a function of y instead of f(x)
exchange x and y in the equation
rearrange to make x a function of y again
establish domain and range using (i) info of doman and range from original f(x) and by logic)
write as f^-1(x)

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