Question

Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)

Answer 1

Answer: g(x)-f(x)=-x³-3x-3

Explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x) [distribute -1]

x-3-x³-4x [combine like terms]

-3-x³-3x [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.