Answer:
[tex](f-g)(x)=4x^{4}+2x^3}-2x-4[/tex]
Step-by-step explanation:
Let f and g be two functions that are defined in the same interval and have the same independent variable. Then, the Subtraction of Function is defined as:
[tex](f-g)(x)=f(x)-g(x)[/tex]
Let's solve (f-g)(x) with [tex]f(x)=5x^{4}+4x^3}+3x^{2}+2x+1[/tex] and [tex]g(x)=x^{4}+2x^{3}+3x^{2}+4x+5[/tex]
[tex](f-g)(x)=(5x^{4}+4x^3}+3x^{2}+2x+1)-(x^{4}+2x^{3}+3x^{2}+4x+5)\\(f-g)(x)=5x^{4}+4x^3}+3x^{2}+2x+1-x^{4}-2x^{3}-3x^{2}-4x-5\\(f-g)(x)=4x^{4}+2x^3}-2x-4[/tex]
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