Algebra Examples

f (x) = 3 x + \sqrt{4} - 2

$f (x) = 3 x + \sqrt{4} - 2$

Step 1

Rewrite the function as an equation.

y = 3 x + \sqrt{4} - 2

$y = 3 x + \sqrt{4} - 2$

Step 2

Simplify

3 x + \sqrt{4} - 2

$3 x + \sqrt{4} - 2$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

y = 3 x + \sqrt{2^{2}} - 2

$y = 3 x + \sqrt{2^{2}} - 2$

Step 2.1.2

Pull terms out from under the radical, assuming positive real numbers.

y = 3 x + 2 - 2

$y = 3 x + 2 - 2$

y = 3 x + 2 - 2

$y = 3 x + 2 - 2$

Step 2.2

Combine the opposite terms in

3 x + 2 - 2

$3 x + 2 - 2$ .

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Step 2.2.1

Subtract

2

$2$ from

2

$2$ .

y = 3 x + 0

$y = 3 x + 0$

Step 2.2.2

Add

3 x

$3 x$ and

0

$0$ .

y = 3 x

$y = 3 x$

y = 3 x

$y = 3 x$

y = 3 x

$y = 3 x$

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