Can the functions be added, subtracted, multiplied, and divided except

Sheelmgal1p

Sheelmgal1p

Answered question

2021-11-28

Can the functions be added, subtracted, multiplied, and divided except where the denominator is zero to produce new functions?

Answer & Explanation

barcelodurazo0q

barcelodurazo0q

Beginner2021-11-29Added 13 answers

Step1
Let two functions be f(x) and g(x).
We want to apply operations on both the functions.
Step2
1. When two functions are added, the result is a new function.
h1(x)=f(x)+g(x)
h1(x) is a function.
2. When two functions are subtracted, the result is a new function.
h2(x)=f(x)g(x)
h2(x) is a function.
3. When two functions are multiplied, the result is a new function.
h3(x)=f(x)xg(x)
h3(x) is a function.
4. When two functions are divided, the result is a new function.
h4(x)=f(x)g(x)},g(x)0
h4(x) is a function.

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