Respuesta :

replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) =  (x-7)^3

Its D

Answer:

D.  [tex](x-7)^3[/tex]

Step-by-step explanation:

Given functions are,

[tex]f(x) = x-7-----(1)[/tex]

[tex]g(x)=x^3-----(2)[/tex]

Now,

[tex]g(f(x))=g(x-7)[/tex]     ( From equation (1) ),

[tex]=(x-7)^3[/tex]            ( From equation (2) ),

[tex]\implies g(f(x)) = (x-7)^3[/tex]

Hence, Option D is correct.