Question

Given function f(x) and g(x), find (f - g)(5).

f (x) = 2x − 3
g (x) = x3 − 3

A) -8

B) -10

C) -115

D) -120

Answer 1

The answer is
C. -115

To find (f — g)(5)

We need to subtract g(x)

From f(x)

and then evaluate the resulting function at

X=5

. First, let's subtract g(x)

From f(x)

(F— g)(x) = f(x) — g(x)

Substituting the given functions:

(f—g)(x) = (2x — 3) — (x3 – 3)

Simplifying:

(f — g)(x) = 2x — 3 — x3 + 3
(f — g)(x) = — x3 + 2x + 0

Now, we can evaluate

(f —g)(5)

By substituting

x = 5

Into the function:

(f — g)(5) = — (5)3 + 2(5) + 0
(f — g)(5) = —125 + 10 + 0
(f — g)(5) = —115

Hope that can help you :)