Algebra Examples

$f (x) = \frac{8}{x}$ , $g (x) = \frac{8}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{8}{x})$ by substituting in the value of $f$ into $g$ .

$g (\frac{8}{x}) = \frac{8}{\frac{8}{x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{8}{x}) = 8 (\frac{x}{8})$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Cancel the common factor.

$g (\frac{8}{x}) = 8 (\frac{x}{8})$

Step 4.2

Rewrite the expression.

$g (\frac{8}{x}) = x$