Question.

Which of the following functions has the same domain as $y=\log_{10}(2-x)$?

(A) $y=\sqrt[3]{2x-4}$
(B) $y=\sqrt{-x-2}$
(C) $y=(x-2)^2$
(D) $y=\sqrt{8-4x}$
(E) none of the above

Question.

Which of the following is $f(g(x))$ if $f(x)=\sin(x)$ and $g(x)=\frac{\pi}{2}-x$?

(A) $\sin(x)$
(B) $\cos(x)$
(C) $-\sin(x)$
(D) $-\cos(x)$
(E) $\tan(x)$

Question.

Which of the following is the set of points $(x,y)$ equidistant from $(1,3)$ and $(3,1)$?

(A) $y=-x$
(B) $y=-x+1$
(C) $y=x$
(D) $x=2$
(E) $y=2$

Question.

The slope of a line perpendicular to the line whose equation is $\frac{x}{3}-\frac{y}{4}=1$ is given by

(A) $\frac{1}{4}$
(B) $-\frac{4}{3}$
(C) $-\frac{3}{4}$
(D) $\frac{4}{3}$
(E) $-3$

Question.

If $a<b$, $\sqrt{\left(a-b \right)^2}-(a-b)=$

(A) $2a-2b$
(B) $2b-2a$
(C) $0$
(D) $b-a$
(E) $a-b$