List all restricted values sqrt 1 - 3x?

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List all restricted values sqrt 1 - 3x?

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Answer 1 · 2017-04-02T06:16:51

All values of $x$ so that $x>1/3$

Explanation:

We are given $sqrt(1-3x)$

As we cannot take square root of a negative number,

the restriction on values of $x$ are given by

$1-3x<0$

or $1<3x$

or $3x>1$

or $x>1/3$

Answer 2 · 2017-04-02T09:18:47

the domain is $(-oo, 1/3]$
the restricted values are $(1/3, oo)$

Explanation:

$sqrt(1-3x)$ => square root can't be negative, it can be zero or greater:
$1-3x>=0$ => add $3x$ to both sides:
$1>=3x$ => divide both sides by 3:
$1/3>=x$
Or:
$x<=1/3$ => the domain of the function

to find the restricted values:
$1-3x<0$
$1<3x$
$x>1/3$

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List all restricted values sqrt 1 - 3x?

2 Answers

Explanation:

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