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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 :

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.

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