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Suppose f, g, and h be three real valued...

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

A

`(3/8, infty]`

B

`( - infty, 1]`

C

` [ -1, 1]`

D

`( - infty, 3/8]`

Text Solution

Verified by Experts

The correct Answer is:
D
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