2nd pic to the last post i just had, still dont know this lesson : (

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Ответ:

liamgreene90

05.09.2022

Mathematics

$f(x) = \frac{2x}{2x + 3}$

Step-by-step explanation:

Given

$h(x) = \frac{2x + 3}{x}$

$g(x) = \frac{2}{x}$

g(f(x)) = h(x)

Required

Find f(x)

$g(x) = \frac{2}{x}$

Substitute x for f(x)

$g(f(x)) = \frac{2}{f(x)}$

Recall that

g(f(x)) = h(x)

This gives

$\frac{2}{f(x)} = \frac{2x + 3}{x}$

Cross Multiply

f(x) * (2x + 3) = 2 * x

f(x) * (2x + 3) = 2 x

Make f(x) the subject of formula

$f(x) = \frac{2x}{2x + 3}$

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