In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
f(x) = 12 / (x + 1)
g(x) = | x - 7 |
Step 02:
composite functions:
(g∘ f)(x):
[tex](g\text{ }\circ f)(x)=|\frac{12}{x+1}-7|\text{ = \mid}\frac{12-7x-7}{x+1}|=|\frac{-7x+5}{x+1}|[/tex]
(g∘ f)(3):
[tex](g\text{ }\circ f)(3)=|\frac{12}{3+1}-7|=|\frac{12}{4}-7|=|3-7|=|-4|=4[/tex]
That is the full solution.
