Test 19
1.
\(f(x)=\samefrac{3x}{|x-2|}\)
What is the domain of f in the real numbers?
A) \(\mathbb R\)B) \([3,\infty)\)C) \((-\infty,2)\)D) \((-\infty,2]\)E) \(\mathbb R\setminus\{2\}\)
2.
\(f(x)=\sqrt{3-|x|}\)
What is the domain of f in the real numbers?
A) \(\mathbb R\setminus\{3\}\)B) \([-3,3]\)C) \((-3,3)\)D) \([0,\infty)\)E) \((-\infty,3]\)
3.
\(f(x)=\begin{cases}1+x^2,&x\ge3\\2x+3,&0<x<3\\2-3x,&x\le0\end{cases}\)
\((f\circ f\circ f)(0)=?\)
A) \(50\)B) \(26\)C) \(17\)D) \(10\)E) \(5\)
4.
\(f(x)=\samefrac{x^2-9}{x^3-9x}\)
What is the domain of f in the real numbers?
A) \(\mathbb R\)B) \(\mathbb R\setminus\{-3,3\}\)C) \(\{-3,3\}\)D) \(\mathbb R\setminus\{-3,0,3\}\)E) \(\{-3,0,3\}\)
5.
\(|2x-5|=9\)
\(S.S.=?\)
A) \(\{-2\}\)B) \(\{-2,7\}\)C) \(\{-4,2\}\)D) \(\{-2,2\}\)E) \(\{2\}\)
6.
\(f(x)=\begin{cases}x^2+1,&x\le3\\3x-2,&x>3\end{cases}\)
\(f(1)+f(5)=?\)
A) \(3\)B) \(9\)C) \(10\)D) \(15\)E) \(19\)
7.
\(f(x)=\sqrt{6-|x-1|}\)
What is the domain of f in the real numbers?
A) \([-2,7]\)B) \([-5,7]\)C) \([-2,7)\)D) \([-4,6]\)E) \([-3,6]\)
8.
\(f(x)=|x+4|-|x+1|\)
\(f(1)+f(3)=?\)
A) \(5\)B) \(6\)C) \(7\)D) \(8\)E) \(9\)