Questions
If f : R → R, g : R → R be two given functions then f (x) = 2 min { f (x) – g (x), 0} equals
a
f (x) + g (x) – |g (x) – f (x)|
b
f (x) + g (x) + |g (x) – f (x)|
c
f (x) – g (x) + |g (x) – f (x)|
d
f (x) – g (x) – |g (x) – f (x)|
detailed solution
Correct option is D
We have, f (x) = 2 min { f (x) – g (x), 0}=0 f(x)>g(x)2[f(x)−g(x)], f(x)≤g(x) =f(x)−g(x)−|f(x)−g(x)|, f(x)>g(x)f(x)−g(x)−|f(x)−g(x)|, f(x)≤g(x)∴ f (x) = f (x) – g (x) –|g (x) – f (x)|Talk to our academic expert!
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