Define by and by

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

Problem

Define

f:\mathbb R\to\mathbb R

by

f(x)=\ln\bigl(x^{2}+1\bigr)

and

g:(0,\infty)\to\mathbb R

by

g(x)=\sqrt{x}

. Determine

g\circ f(x)

and state the domain of this composite function.

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