Question

If f(x)=x-7 and g(x)=x^3, what is G(f(x))?

A. x^3+x-7
B. x^3(x-7)
C. X^3-7
D. (x-7)^3

Answer 1

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

g(f(x)) =  (x-7)^3

Its D

Answer 2

Answer:

D.  $(x-7)^3$

Step-by-step explanation:

Given functions are,

$f(x) = x-7-----(1)$

$g(x)=x^3-----(2)$

Now,

$g(f(x))=g(x-7)$     ( From equation (1) ),

$=(x-7)^3$            ( From equation (2) ),

$\implies g(f(x)) = (x-7)^3$

Hence, Option D is correct.