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anonymous
 one year ago
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w*r)(x)
anonymous
 one year ago
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w*r)(x)

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1is it ` (wº r)(x) `, or is it ` (w • r)(x) ` ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Ok, you know that ` (wº r)(x) ` just means ` w(r(x)) ` in other words, you take the x in the function w(x), and plug in the function r(x) instead of it.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w(x)=x2 r(x)=2x²  so, you know that: w(\(\small\color{red}{x}\))=\(\small\color{red}{x}\)2 and therefore: w(\(\small\color{red}{r(x)}\)) =(\(\small\color{red}{2x^2}\))2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1can you simplify the w(r(x)) /

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you mean solve (wx^2)2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if so it would be x^2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so (wº r)(x) = x² and you need to find the range of this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok and how would i do that haha

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1x² \(\small \ge\) 0 (for any real number value of x)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so the range of x² is (0,+∞)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1now, multiply both sides of: x² \(\small \ge\) 0 by 1, and you get

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and what is the sign, \(\small \ge\) or \(\small \le\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1x² \(\small \le\) 0 like that?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so x² is at most 0, and can go into any very big negative values

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so the range of x² is?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1well, it is at most 0, so we know that: ,0] and it can go into nagetive infinty so we know that: (∞, 0]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just didnt know how to make a infinity sign haha

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1oh, 1. you click ALT, and hold it 2. click 2 3 6 (respectively) on the number pad on the right side of your keyboard 3. you release the ALT, and get ∞

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes, and if you use a the code 0 2 1 5 , you get ×

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and code of 2 4 6 , you get ÷

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1there are many symbols like that. 755 , ≤ 754, ≥ 251, √

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1if you have any questions, I will be happy to answer.
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