Question

If F(x) = x - 7 and g(x) = x3, what is G(F(x))?

Answer 1

Answer:

x^3 - 21x^2 + 147x - 343

Step-by-step explanation:

f(x) = x - 7

g(x) = x^3

g(f(x)) = (f(x))^3

g(f(x)) = (x - 7)^3

(x - 7)(x - 7)(x - 7)

(x^2 - 14x + 49)(x - 7)

x^3 - 7x^2 - 14x^2 + 98x + 49x - 343

x^3 - 21x^2 + 147x - 343

Answer 2

Answer:

x^3-21x^2+147x-343

Step-by-step explanation:

g(f(x))=(x-7)^3=(x-7)(x-7)(x-7)

(x-7)(x^2-7x-7x+49)

(x-7)(x^2-14x+49)

x^3-14x^2+49x-7x^2+98x-343

x^3-14x^2-7x^2+49x+98x-343

x^3-21x^2+147x-343