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Math  /  Algebra

QuestionGiven the following functions: f(x)=3x2+3x−6g(x)=3x+6\begin{array}{l} f(x)=3 x^{2}+3 x-6 \\ g(x)=3 x+6 \end{array}
Find each of the values below. Give exact answers. a. (f+g)(−2)=(f+g)(-2)= □\square b. (f−g)(3)=(f-g)(3)= □\square 15 c. (f⋅g)(2)=(f \cdot g)(2)= □\square 120 d. (fg)(4)=\left(\frac{f}{g}\right)(4)= □\square

Studdy Solution
Calculate the result:
(fg)(4)=f(4)g(4) \left(\frac{f}{g}\right)(4) = \frac{f(4)}{g(4)} =5418 = \frac{54}{18} =3 = 3
The values are: a. (f+g)(−2)=0(f+g)(-2) = 0 b. (f−g)(3)=15(f-g)(3) = 15 c. (f⋅g)(2)=144(f \cdot g)(2) = 144 d. (fg)(4)=3\left(\frac{f}{g}\right)(4) = 3

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