Answer:
Option a - [tex]g(f(x))=x[/tex]
Step-by-step explanation:
Given : f(x) = x minus three divided by eight.; g(x) = 8x + 3
To find : The value of g(f(x)) ?
Solution :
The function given are,
[tex]f(x)=\frac{(x-3)}{8}[/tex] and [tex]g(x) = 8x + 3[/tex]
The value of g(f(x)) is given by,
[tex]g(f(x))=g(\frac{(x-3)}{8})[/tex]
[tex]g(f(x))=8(\frac{(x-3)}{8})+3[/tex]
[tex]g(f(x))=x-3+3[/tex]
[tex]g(f(x))=x[/tex]
Therefore, Option a is correct.
