Let ƒ(n) and g(n) be asymptotically positive functions. prove or disprove each of the following conjectures.
a ƒ(n)∈o(g(n)) implies g(n)∈o(ƒ(
b ƒ(n)+ g(n)∈θ(min(ƒ(n),g(
c ƒ(n)∈o(g(n)) implies lg(ƒ(n))∈o(lg(g( where lg(g(n))≥1 and ƒ(n)≥1 for all sufficiently large n.
d ƒ(n)∈o(g(n)) implies 2^(ƒ(n))∈o(2g(
e ƒ(n)∈o((ƒ(n))^2).
f ƒ(n)∈o(g(n)) implies g(n)∈ω(ƒ(
g ƒ(n)∈θ(ƒ(n/
h ƒ(n)+ o(ƒ(n))∈θ(ƒ(

Which fraction is not equivalent to 8/12 a. 2/3 b. 24/36 c. 4/10 d. 6/10

When george started his current job, his employer told him that at the end of the first year, he would receive two vacation days. after each year worked, his number of vacation days will double up to five work weeks (25days) of payed vacation. how many vacation days will he have in 4 years

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.