1Is
f(|x|) + |f(x)| = { -x-3 ; x<=-3
2x-3 ; x>3 }
?
8 Answers
1no i changed the question . 3 to -3 in the first condition
1I just noticed and edited my ans (same min as you replied :)) ...
Is
f(|x|) + |f(x)| = { -x-3 ; x<=-3
2x-3 ; x>3 }
?
1first part of answer is right second part of answer is not right
62x+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 :)