For the function where

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For the function

g_k(x)=x^{2}-k

where

k\in\mathbb R

, let

f(x)=\ln x

. Determine all real values of

k

for which the domain of

(f\circ g_k)(x)

\mathbb R