What is (f−g)(x)? f(x)=x^4−x^2+9 g(x)=x^3+3x^2+12

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(f−g)(x)=

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Answer 1 · 2018-02-22T18:58:24

#x^4-x^3-4x^2-3#

#f(x)=x^4-x^2+9#

#g(x)=x^3+3x^2+12#

#(f-g)(x)=f(x)-g(x)#:

Subtract #g(x)# from #f(x)#. i.e.

#(f-g)(x)= x^4-x^2+9-(x^3+3x^2+12)#

#color(white)(88888888.8)= x^4-x^2+9-x^3-3x^2-12#

#color(white)(88888888.8)= x^4-x^3-4x^2-3#