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The function h is defined for all nonzero m by the equation h (m) = m + \frac{8}{m} . If m is not equal to 0, which of the following equals h (\frac{8}{m}) ?

Explanation	Calculations	Help
$We substitute the given value into the definition of the function h.$	$h (\frac{8}{m}) = \frac{8}{m} + \frac{8}{\frac{8}{m}}$	Theory & Tactics Method Card ALG5-A Click to view full details
$We simplify the second term by multiplying by the reciprocal.$	$\frac{8}{\frac{8}{m}} = 8 \times \frac{m}{8} = m$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We combine the terms to recover the original function value.$	$h (\frac{8}{m}) = \frac{8}{m} + m = m + \frac{8}{m} = h (m)$

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A

The function h is defined for all nonzero m by the equation h (m) = m + \frac{8}{m} . If m is not equal to 0, which of the following equals h (\frac{8}{m}) ?

Explanation	Calculations	Help
$We substitute the given value into the definition of the function h.$	$h (\frac{8}{m}) = \frac{8}{m} + \frac{8}{\frac{8}{m}}$	Theory & Tactics Method Card ALG5-A Click to view full details
$We simplify the second term by multiplying by the reciprocal.$	$\frac{8}{\frac{8}{m}} = 8 \times \frac{m}{8} = m$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We combine the terms to recover the original function value.$	$h (\frac{8}{m}) = \frac{8}{m} + m = m + \frac{8}{m} = h (m)$

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A