Precalculus Examples

$f (x) = 6 x^{2} + x$ , $g (x) = x + 1$ , $f (x) - g (x)$

Step 1

Replace the function designators in $f (x) - g x$ with the actual functions.

$(6 x^{2} + x) - (x + 1)$

Step 2

Simplify $(6 x^{2} + x) - (x + 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$6 x^{2} + x - x - 1 \cdot 1$

Step 2.1.2

Multiply $- 1$ by $1$ .

$6 x^{2} + x - x - 1$

Step 2.2

Combine the opposite terms in $6 x^{2} + x - x - 1$ .

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Step 2.2.1

Subtract $x$ from $x$ .

$6 x^{2} + 0 - 1$

Step 2.2.2

Add $6 x^{2}$ and $0$ .

$6 x^{2} - 1$

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