Answer:
x(x+3)(x-2)
Step-by-step explanation:
i hope this helps :)
The answer is true, but Im not 100%
Answer:
(2, ∞)
Step-by-step explanation:
The function is not defined to the left of x=2 (assuming the independent variable is x). There is a vertical asymptote at x=2, so the function is not actually defined for x=2. However, the function is defined for all values of the independent variable greater than 2, so that is its domain.
(We don't actually know what the indpendent variable is, so we have expressed the domain in interval notation—avoiding the problem of naming the independent variable.)
Answer:
• let's consider m‹FBD
![{ \tt{m \angle FBD = 180 \degree - m \angle ABF}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%5Cangle%20FBD%20%20%3D%20180%20%5Cdegree%20-%20%20%20m%20%5Cangle%20ABF%7D%7D)
• Then let's consider m‹GFE
![{ \tt{m \angle GFE = 180 \degree - m \angle HGF}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%5Cangle%20GFE%20%20%3D%20%20180%20%5Cdegree%20-%20m%20%5Cangle%20HGF%7D%7D)
but AD||HE, therefore:
![{ \tt{m \angle FBD + m \angle GFE = (180 \degree - m \angle ABF) + (180 \degree - m \angle HGF)}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%5Cangle%20FBD%20%2B%20m%20%5Cangle%20GFE%20%3D%20%28180%20%5Cdegree%20-%20m%20%5Cangle%20ABF%29%20%2B%20%28180%20%5Cdegree%20-%20m%20%5Cangle%20HGF%29%7D%7D)
but m‹ABF ≈ m‹HGF
![{ \tt{2(m \angle FBD) +2( m \angle GFE) = 180 \degree + 180 \degree}} \\ \\ { \tt{2(m \angle FBD + m \angle GFE) = 360 \degree}} \\ \\ { \tt{m \angle FBD + m \angle GFE = \frac{360 \degree}{2} }} \\ \\ { \boxed{ \boxed{ \bf{m \angle FBD + m \angle GFE = 180 \degree}}}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B2%28m%20%5Cangle%20FBD%29%20%2B2%28%20m%20%5Cangle%20GFE%29%20%3D%20180%20%5Cdegree%20%2B%20180%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B2%28m%20%5Cangle%20FBD%20%2B%20m%20%5Cangle%20GFE%29%20%3D%20360%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bm%20%5Cangle%20FBD%20%2B%20m%20%5Cangle%20GFE%20%3D%20%20%5Cfrac%7B360%20%5Cdegree%7D%7B2%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%7Bm%20%5Cangle%20FBD%20%2B%20m%20%5Cangle%20GFE%20%3D%20180%20%5Cdegree%7D%7D%7D%7D)