Answer:
<h3> (f/g)(x) = 4x³ - 8x - 5</h3><h3>(f/g)(2) = 11</h3>Step-by-step explanation:
f(x) = 4x⁴ + 4x³ - 8x² - 13x - 5
g(x) = x + 1
To find (f/g)(2) first find (f/g)(x)
To find (f/g)(x) factorize f(x) first
That's
f(x) = 4x⁴ + 4x³ - 8x² - 13x - 5
f(x) = ( x + 1)( 4x³ - 8x - 5)
So we have
Simplify
We have
<h3> (f/g)(x) = 4x³ - 8x - 5</h3>To find (f/g)(2) substitute 2 into (f/g)(x)
That's
(f/g)(2) = 4(2)³ - 8(2) - 5
= 4(8) - 16 - 5
= 32 - 16 - 5
= 11
<h3>(f/g)(2) = 11</h3>Hope this helps you
