Define by and by

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Define

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

by

f(x)=\ln x

and

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

by

g(x)=e^{2x}

. Which of the following equals

(g\circ f)^{-1}(y)

for

y>0

? (a)

\dfrac{1}{2}\ln y

(b)

\dfrac{y}{2}

(c)

\sqrt{y}

(d)

y

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