Question

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

Answer 1

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.