Question

3
select the correct answer.
consider these functions:
$f(x)=2x^3 + 3$
$g(x)=x - 4$
what is the value of $g(f(x))$?
a. $2x^3 - 1$
b. $2x^4 - 4x^3 + 3x - 12$
c. $2x^3 - 24x^2 - 32x - 61$
d. $2x^3 + 3x - 4$

Explanation:

Step1: Substitute $f(x)$ into $g(x)$

$g(f(x)) = f(x) - 4$

Step2: Replace $f(x)$ with its expression

$g(f(x)) = (2x^3 + 3) - 4$

Step3: Simplify the expression

$g(f(x)) = 2x^3 + 3 - 4 = 2x^3 - 1$

Answer:

A. $2x^3 - 1$