Question
Asked Sep 30, 2019
For the functions f(x) 2-x2 and g(x) x2 +2x -80, find f+ g, f- g, fg, and
Determine the domain for each function.
(f+gx)(Simplify your answer.)
=
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For the functions f(x) 2-x2 and g(x) x2 +2x -80, find f+ g, f- g, fg, and Determine the domain for each function. (f+gx)(Simplify your answer.) =

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check_circleExpert Solution
Step 1

The given functions are f(x) = 2-x2 and g(x) = x2+2x-80

Step 2

The functions f+g, f-g, fg a...

(fg)(x)=f(x)+g (x)
-2-x x + 2x-80
-2(x-39)
(f-g)(x)=(x)-g (x)
-2-x2 -x -2x+80
=-2x -2x+82
= 2(x x-41)
+
(fg)(x)f(x) g(x)
(2-x22x-80)
=-x -2x3 82x 4x-160
+
2 x
x2x-80
(2-x)
(x+10)(x-8)
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(fg)(x)=f(x)+g (x) -2-x x + 2x-80 -2(x-39) (f-g)(x)=(x)-g (x) -2-x2 -x -2x+80 =-2x -2x+82 = 2(x x-41) + (fg)(x)f(x) g(x) (2-x22x-80) =-x -2x3 82x 4x-160 + 2 x x2x-80 (2-x) (x+10)(x-8)

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