[tex](g+h)(x) = x^3+6x+3[/tex]
Step-by-step explanation:
The operations on functions can be performed as they are performed on polynomials
The addition of functions is used in the given question
Given
[tex]g(x)=x^3+5x\\h(x)=x+3[/tex]
We have to find:
[tex](g+h)(x)=g(x)+h(x)\\=x^3+5x+x+3\\=x^3+6x+3[/tex]
So,
[tex](g+h)(x) = x^3+6x+3[/tex]
Keywords: Functions, operations on functions
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