Calculus - functions

1

varun ·2008-11-19 08:29:19

Is

f(|x|) + |f(x)| = { -x-3 ; x<=-3
2x-3 ; x>3 }

?

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1

Indraneel Chatterjee ·2008-11-19 08:31:17

no i changed the question . 3 to -3 in the first condition

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1

varun ·2008-11-19 08:32:59

I just noticed and edited my ans (same min as you replied :)) ...

Is

f(|x|) + |f(x)| = { -x-3 ; x<=-3
2x-3 ; x>3 }

?

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1

Indraneel Chatterjee ·2008-11-19 08:34:18

no that is not the answer

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1

varun ·2008-11-19 08:39:15

Is it ?

f(|x|) + |f(x)| = {-3x-6 ; x<=-3
2x-3 ; x>3. }

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1

Indraneel Chatterjee ·2008-11-20 03:55:24

first part of answer is right second part of answer is not right

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62

Lokesh Verma ·2008-11-20 04:01:27

x+3 for x<=-3
f(x) =
2x-3 for x>3

|x+3| for x<=-3
|f(x)|=
|2x-3| for x>3

for x<=-3, x+3 is -ve so |x+3|=-x-3

so
-x-3 for x<=-3
|f(x)|=
2x-3 for x>3

f|x| = f(-x) (if x<0)

so

f(|x|)= 2|x|-3 for |x|>3

-2x-3 for x<=-3
f(x) =
2x-3 for x>3

so second part is 4x-6 :)

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1

varun ·2008-11-20 04:03:09

Opps lol I just realized it :):)

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