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Find all values of f(x) for which f(x) =...

Find all values of f(x) for which f(x) `=x+sqrt(x^2)`

Text Solution

Verified by Experts

The correct Answer is:
`[0,oo)`
`f(x)=x+sqrt(x^2)=x+|x|`
`{:{(x+x"," x ge 0 ),(x-x , x lt 0 ):}`
`= {:{ (2x"," x ge 0 ),(0 "," x lt 0 ):}`
Hence ,f(x) takes values `[0, oo)`
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