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The function f(x) is the height of an object x seconds after it is thrown in the air. The object reaches its maximum height in 2 s, and hits the ground at 5 s.

What is the practical domain for the function?

 

whole numbers

all real numbers

[0,5]

(0,5)

 

What is (f+g)(x)?

f(x) = 8x2+16x+6

g(x)=x3−3x2−9

 

x3+5x2+16x+3

x3+8x2+16x−3

x3+5x2+16x−3

2x3+5x2+16x−3

 

What is (f⋅g)(x)

f(x)=x4−9

g(x)=x3+9

 

x7+9x4+9x3+81

x7+9x4−9x3−81

x7−9x4−9x3−81

x7−9x4+9x3+81

jbouyer  Feb 14, 2018
 #1
avatar+90023 
+1

[0,5]

 

 

What is (f+g)(x)?

f(x) = 8x^2+16x+6

g(x)=x^3−3x^2−9

 

f +  g  =       8x^2 + 16x  + 6   + x^3 - 3x^2 - 9   =   x^3 + 5x^2  + 16x - 3 

 

 

What is (f⋅g)(x)

f(x)=x^4−9

g(x)=x^3+9 

 

f * g   =

 

 (x^4 - 9( (x^3 + 9)     use the distributive property

 

x^4 (x^3) + x^4(9)  + (-9)(x^3)  + (-9)(9)

 

x^7  + 9x^4   -  9x^3  - 81

 

 

cool cool cool

CPhill  Feb 14, 2018

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