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Algebra Examples

f (x) = - x^{2}

$f (x) = - x^{2}$ ,

g (x) = 4 x - 1

$g (x) = 4 x - 1$

Step 1

Replace the function designators with the actual functions in

f (x) - g x

$f (x) - g x$ .

- x^{2} - (4 x - 1)

$- x^{2} - (4 x - 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

- x^{2} - (4 x) - - 1

$- x^{2} - (4 x) - - 1$

Step 2.2

Multiply

4

$4$ by

- 1

$- 1$ .

- x^{2} - 4 x - - 1

$- x^{2} - 4 x - - 1$

Step 2.3

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

- x^{2} - 4 x + 1

$- x^{2} - 4 x + 1$

- x^{2} - 4 x + 1

$- x^{2} - 4 x + 1$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$