<img src="https://tex.z-dn.net/?f=f%20%3D%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20" id="TexFormula1" title="f =(x) = \frac{x}{4}

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Alexxandr [17]

2 years ago

" alt="f =(x) = \frac{x}{4} " align="absmiddle" class="latex-formula">
$fg (x) = \frac{1}{2x + 1}$
Find g(x)

Mathematics

1 answer:

Inga [223]2 years ago

5 0

Answer:

g(x) = $\frac{x+3}{x-3}$

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = $\frac{2x}{(x-3)}$

g(x) = $\frac{2x}{(x-3)}-1$

= $\frac{2x-(x-3)}{(x-3)}$

= $\frac{(x+3)}{(x-3)}$

Therefore, g(x) = $\frac{x+3}{x-3}$ will be the answer.

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