Question

Perform the requested operation or operations.

f(x) = x minus three divided by eight.; g(x) = 8x + 3, find g(f(x)).


answer a : g(f(x)) = x

answer b: g(f(x)) = x - three divided by eight.

answer c: g(f(x)) = 8x + 21

answer d: g(f(x)) = x + 6

Answer 1

Option a -
`g(f(x))=x`

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)=((x-3))/(8)` and
`g(x) = 8x + 3`

The value of g(f(x)) is given by,

`g(f(x))=g(((x-3))/(8))`

`g(f(x))=8(((x-3))/(8))+3`

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

`g(f(x))=x`

Therefore, Option a is correct.