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(

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

step-by-step explanation:

(3rd option) - c

1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation:

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k