Question

For the functions f(x)=x4−x3−7x2+9x−2 and g(x)=x−1, find (f/g)(x) and (f/g)(2).

Answer 1

Answer:

(f/g)(x) = x³ - 7x + 2

(f/g)(2) = -4

Step-by-step explanation:

To find (f/g)(x), divide f(x) by g(x).  The process is shown in the attached image.

(f/g)(x) = x³ - 7x + 2

To find (f/g)(2), plug in 2 wherever there is an x.

(f/g)(x) = x³ - 7x + 2

(f/g)(2) = (2)³ - 7(2) + 2

(f/g)(2) = 8 - 14 + 2

(f/g)(2) = -6 + 2

(f/g)(2) = -4