For the functions f(x)=x4−x3−7x2+9x−2 and g(x)=x−1, find (f/g)(x) and (f/g)(2).
1 answer:
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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Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em></em>
<em>where represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for
We have:
Solving for
Dividing both sides by 2.
∴
Thus, the constant of proportionality = 4.