Test 26
1.
\(xy-3y-x+3=0\)
\(\Rightarrow y=?\)
A) \(\samefrac{x-1}{x+2}\)B) \(\samefrac{x-2}{x-3}\)C) \(1\)D) \(\samefrac{x+3}{x-3}\)E) \(-1\)
2.
\(f(x)=\samefrac{4-2f(x)}{2+x}\)
\(\Rightarrow f(4)=?\)
A) \(-\samefrac{1}{2}\)B) \(0\)C) \(\samefrac{1}{2}\)D) \(1\)E) \(\samefrac{3}{2}\)
3.
\(f(x)=\samefrac{-f(x)+x+1}{x-2}\)
\(\Rightarrow f(3)=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
4.
\(f:\mathbb{R}\setminus\left\{-1\right\}\to \mathbb{R}\setminus\left\{1\right\}\)
\(xy+2=x-y\)
\(y=f(x)\)
\(\Rightarrow f^{-1}(x)=?\)
A) \(\samefrac{x-2}{x-1}\)B) \(\samefrac{x+2}{1-x}\)C) \(\samefrac{x-2}{x}\)D) \(\samefrac{2}{1-x}\)E) \(\samefrac{2-x}{x-1}\)
5.
\(f(x)=5^{x+3}\)
What is the value of \(f(x+1)\) in terms of \(f(x)\)?
A) \(25f(x)\)B) \(5f(x)\)C) \(25f^2(x)\)D) \(f^2(x)\)E) \(5f^2(x)\)
6.
\(f(x)=3^{x+1}\)
What is the value of \(f(x+2)\) in terms of \(f(x)\)?
A) \(f(x)+1\)B) \(\samefrac{f(x)}{3}\)C) \(3f(x)-2\)D) \(9f(x)\)E) \(f(x)+3\)
7.
\(f(x)=\samefrac{x+1}{x}\)
What is the value of \(f(3x)\) in terms of \(f(x)\)?
A) \(\samefrac{f(x)+2}{3}\)B) \(\samefrac{3f(x)+1}{3f(x)}\)C) \(\samefrac{3f(x)+1}{3}\)D) \(3f(x)\)E) \(f(x)+2\)
8.
\(f(x)=3^{x+1}\)
What is the value of \(f\left(\samefrac{x+1}{2}\right)\) in terms of \(f(x)\)?
A) \(27f^2(x)\)B) \(\sqrt{27f(x)}\)C) \(3\sqrt{f(x)}\)D) \(\sqrt{3f(x)}\)E) \(9f^2(x)\)