Question

Perform the requested operation or operations.

Answer 1

Answer:

Option a - $g(f(x))=x$          

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,

$f(x)=\frac{(x-3)}{8}$ and $g(x) = 8x + 3$

The value of g(f(x))  is given by,

$g(f(x))=g(\frac{(x-3)}{8})$

$g(f(x))=8(\frac{(x-3)}{8})+3$

$g(f(x))=x-3+3$

$g(f(x))=x$

Therefore, Option a is correct.