Mathematics: I need to know 2/3 divided by 5 =

Step-by-step explanation:GivenRequiredFind is calculated as:This gives:Apply difference of two squares on the numerator...

I need to know 2/3 divided by 5 = - id2358803181, jaleesalewis2008

kob3965

14.09.2021

$(\frac{f}{g})(x) = \sqrt{x + 1}$

Step-by-step explanation:

Given

$f(x) = \sqrt{x^2 - 1$

$g(x) =\sqrt{x - 1$

Required

Find $(\frac{f}{g})(x)$

$(\frac{f}{g})(x)$ is calculated as:

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

This gives:

$(\frac{f}{g})(x) = \frac{\sqrt{x^2 - 1}}{\sqrt{x - 1}}$

Apply difference of two squares on the numerator

$(\frac{f}{g})(x) = \frac{\sqrt{x - 1}*\sqrt{x + 1}}{\sqrt{x - 1}}$

$(\frac{f}{g})(x) = \sqrt{x + 1}$

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