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Find the domain of f(x)=|x-1|...

Find the domain of `f(x)=|x-1|`

A

`R`

B

`R-{1}`

C

`R-{-1}`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
`f(x) = |x-1| = {{:(x-1",",x-1 ge 0),(-(x-1)",", x-1 lt 0):}`
i.e., `{{:(x-1",",x ge 1),(1-x",", x lt 0):}`
`:.` Domain of the function `f(x) = |x-1|` is R.
from the graph, range of f(x) `= |x-1|` is `[0, oo)`
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