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3 years ago

R(x)=2square root of x S(x)= square root of x (rs)(4)=

Mathematics

1 answer:

Deffense [45]3 years ago

5 0

Answer:

$(rs)(4) = 8$

Step-by-step explanation:

Given

$r(x) = 2\sqrt{x$

$s(x) = \sqrt x$

Required

Determine $(rs)(4)$

In functions:

$(fg)(x) = f(x) * g(x)$

This implies that:

$(rs)(x) = r(x) * s(x)$

Substitute values for r(x) and s(x)

$(rs)(x) = 2\sqrt{x} * \sqrt{x}$

$(rs)(x) = 2(\sqrt{x})^2$

$(rs)(x) = 2x$

Substitute 4 for x

$(rs)(4) = 2 * 4$

$(rs)(4) = 8$

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