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27 votes
27 votes
F(x)=x^2+1 g(x)=5-x (f-g)(x)=

User Ollyc
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2 Answers

14 votes
14 votes

Answer:

x^2-x+6

Explanation:

For any two functions f(x) and g(x),

(f+g)(x) is the sum of f(x) and g(x). That is,

(f+g)(x)= f(x)+g(x).

=(x^2+1)+(5-x)

=x^2-x+6

User Rivu
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2.6k points
22 votes
22 votes

Given


f(x)=x^2+1,\text{ g(x)=5-x}

Then, (f-g)(x) can be found as,


\begin{gathered} (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=x^2+1-(5-x) \\ (f-g)(x)=x^2-4+x \\ (f-g)(x)=x^2+x-4 \end{gathered}

User Colin Wheeler
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2.9k points