Megan Homework

True/False

1. [math]\displaystyle{ \sqrt{a} + \sqrt{a} = \sqrt{a+a} }[/math]
2. [math]\displaystyle{ \sqrt{8x} = 2 \sqrt{4x} }[/math]
3. [math]\displaystyle{ e^{-1/2} = -\sqrt{e} }[/math]
4. [math]\displaystyle{ (g \cdot f)(x) = g(x)f(x) }[/math]
5. [math]\displaystyle{ (g \circ f)(x) = f(g(x)) }[/math]
6. if [math]\displaystyle{ f(x) = 4x }[/math] and [math]\displaystyle{ g(x) = \sqrt{x} }[/math]
   1. [math]\displaystyle{ (g \circ f)(x) = 4 \sqrt{x} }[/math]
   2. [math]\displaystyle{ (g \circ g)(y) = \sqrt[4]{y} }[/math]
   3. [math]\displaystyle{ (g \circ f)(z) = (f \circ g)(z) }[/math]
7. [math]\displaystyle{ t^2t^3 = t^6 }[/math]
8. [math]\displaystyle{ \frac{2x+1}{x+1} = \frac{2x}{x} = 2 }[/math]