What is (f+g)(x)? f(x)=8x^2+16x+6 g(x)=x^3−3x^2−9

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(f+g)(x)=

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Answer 1 · 2018-02-22T19:08:00

#x^3+5x^2+16x-3#

#f(x)=8x^2+16x+6#

#g(x)=x^3-3x^2-9#

#(f+g)(x)=f(x)+g(x)#

Add the two functions together:

#f(x)+g(x)=(8x^2+16x+6)+(x^3-3x^2-9)#

#color(white)(888888888.8)=8x^2+16x+6+x^3-3x^2-9#

#color(white)(888888888.8)=5x^2+16x+x^3-3#

#color(white)(888888888.8)=x^3+5x^2+16x-3#