For groups g_1 and g_2 a function f: g_1 -rightarrow g_2 is a homomorphism if f (g*1 h) = f(g) *2/(h) for every g, h e g1. let k = {g e g1 {(g) = e_2} where e_2 is the identity of g_2. show that k is a subgroup of g1. show that if f is one-to-one then k = {e1} and conversely that if k = {e1} then f must be one-to-one.

If you answer right ill give brainliest, : )

Which inequality has a dashed boundary line when graphed ?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)