##### Find the domain of the function. (Enter your answer using interval notation.) f(

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
 sqrt x
+
 sqrt2 − x

Jun 30th, 2015

√x + √(x -2)

There are two conditions to be satisfied here

1. for √x we need x ≥ 0

2 For √(x -2) we need x ≥ 2

Hence since condition 2 is more restrictive, it satisfies both.

Hence the domain is { x : x x ≥ 2, where x is any Real number}

In interval notation the domain is [2, ∞ )

Jun 30th, 2015

sorry I have used the wrong thing re attaching

Jun 30th, 2015

√x + √(2 -x)

There are two conditions to be satisfied here

1. for √x we need x ≥ 0

2 For √(x -2) we need x ≤ 2

Hence x must lie between 0 and 2 to satisfy both

Hence the domain is { x : 0 ≤ x ≤ 2, where x is any Real number}

In interval notation the domain is [0, 2]

Jun 30th, 2015
Jun 30th, 2015

Any other question I can do for you _Im free just now

Jun 30th, 2015

Thanks for that explanation!

Jun 30th, 2015

You're welcome

Jun 30th, 2015

...
Jun 30th, 2015
...
Jun 30th, 2015
Aug 17th, 2017
check_circle