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What is (f+g)(x)? {f(x) = 3x^5+6x^2-5 g(x)=3x^5-5x^4+3x^2-15

User Tsurahman
by
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1 Answer

2 votes

Answer:

Step-by-step explanation

The expression


(f-g)(x)

is just another way of writing


f(x)-g(x)

Now,


f(x)=3x^5+6x^2-5
g\mleft(x\mright)=3x^5-5x^4+3x^2-15

Therefore,


f(x)-g(x)=3x^5+6x^2-5-\lbrack3x^5-5x^4+3x^2-15\rbrack

expanding the expression in the brackets ( which involves expanding the negative sign) gives


f(x)-g(x)=3x^5+6x^2-5-3x^5+5x^4-3x^2+15\rbrack

combining the like terms gives


f(x)-g(x)=(3x^5-3x^5)+(6x^2-3x^2)+(-5+15)+5x^4
=3x^2+10+5x^4

Hence,


\boxed{f\mleft(x\mright)-g\mleft(x\mright)=5x^4+3x^2+10.}

which is our answer!

User Tim Peters
by
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