Methods Help

[LachlanBarr8]

Hi Guys,

What would the answer of the attached be, noting that g^-1(x) = ln (3-x^2), with domain [0, square root 3).

Much appreciated! 

[fun_jirachi]

Hey there!

For some function \(g(x) = \ln (f(x))\), we have that \(g(x) \to -\infty\) when \(f(x) \to 0\).

Here, we have that \(g^{-1}(x) = \ln (f(x)), \ (x \in [0, \sqrt{3}))\) where \(f(x) = 3-x^2\). Could you perhaps apply that same idea to this question?

Hope this helps