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Let f (x), g(x) be two real valued funct...

Let `f (x), g(x)` be two real valued functions then the function `h(x) =2 max {f(x)-g(x), 0}` is equal to :

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Function of the form max {f(x)g(x)h(x)}

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to