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

Mathematics

1 answer:

Fed [463]2 years ago

4 0

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

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