Q1Single correct3 Marks10 May 2026

Consider the real-valued functions $f$ and $g$ defined (on appropriate domains) by $f(x) = e^x$, $g(x) = \sqrt{1 - x}$. Which of the following is a valid domain for the composite real-valued function $g \circ f$?

A

$[1, \infty)$

B

$(-\infty, 0]$

C

$(-\infty, 1]$

D

$[0, 1]$