Algebra Examples

$f (x) = 3 - 8 x + x^{2}$ , $g (x) = \frac{x}{x - 4.5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (3 - 8 x + x^{2})$ by substituting in the value of $f$ into $g$ .

$g (3 - 8 x + x^{2}) = \frac{3 - 8 x + x^{2}}{(3 - 8 x + x^{2}) - 4.5}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $4.5$ from $3$ .

$g (3 - 8 x + x^{2}) = \frac{3 - 8 x + x^{2}}{- 8 x + x^{2} - 1.5}$

Step 3.2

Reorder terms.

$g (3 - 8 x + x^{2}) = \frac{3 - 8 x + x^{2}}{x^{2} - 8 x - 1.5}$