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Mice21 [21]
3 years ago
11

Proposition 2.30. Suppose X and Y are topological spaces, and f : X → Y is any map. (a) f is continuous if and only if f (A c f(

A) for all ASX. (b) f is closed if and only if f (A) 2 f(A) for all A CX. (c) f is continuous if and only if f -(Int B) Intf-?(B) for all B CY. (d) f is open if and only if f-'(Int B) 2 Int f-'(B) for all B C Y.
Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

54

Step-by-step explanation:

lkjiuyog

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5 0
2 years ago
Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
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