Define injections g : [0, 1) → [0, 1] and h : [0, 1] → [0, 1). Prove that that the functions g and h that you define are injections. It follows from the Cantor-Schroeder-Bernstein theorem that there exists a bijection f : [0, 1] → [0, 1). (Can you see how to define such a bijection directly?)

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 5 -100 12 8

A: Solve the given

Q: 2) 36³x=¹

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T. r…

A: We will evaluate the required value.

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 4 10

A: Given: The figure,

Q: expand (x+y)6

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: 3 power 3

A:

Q: 6 1/6 + 6

A: