How do you find the domain of $f (x) = | 2 x + 1 |$ $f(x) = |2x + 1|$ ?

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How do you find the domain of $f (x) = | 2 x + 1 |$ $f(x) = |2x + 1|$ ?

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Answer 1 · 2017-02-27T19:35:54

$- \infty < x < \infty$ $-oo < x < oo$

Explanation:

The domain is the set of $x$ $x$ values that an equation can take.

The range is the set of $y$ $y$ values an equation can spit out.

For $f (x) = | 2 x + 1 |$ $f(x) = |2x+1|$ , you can put in any $x$ $x$ value and get a $y$ $y$ out, so the domain is anything:

$- \infty < x < \infty$ $-oo < x < oo$

However, because it is the ultimate value (or modulus) function, it is the positive distance from zero - in other words, if the output is negative, it becomes positive, and if it is positive, is stays positive.

Therefore, it can only be positive, so the range is:

$f (x) \geq 0$ $f(x) >= 0$

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How do you find the domain of $f (x) = | 2 x + 1 |$ $f(x) = |2x + 1|$ ?

1 Answer

Explanation:

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How do you find the domain of f(x)=|2x+1|f(x) = |2x + 1|?

1 Answer

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How do you find the domain of $f (x) = | 2 x + 1 |$ $f(x) = |2x + 1|$ ?