The sum of functions f and g is (f+g)(x). The correct option is D. [tex]7x^2+x-6[/tex].
Given functions are,
[tex]f(x)=2x^2+3x[/tex] and [tex]g(x)=5x^2-2x-6[/tex].
We have to calculate [tex]f(x) +g(x)\\[/tex].
We have to find the sum of functions f and g. Use algebra rules and function properties to find the required sum of functions.
How to find the sum of the required sum of functions?
Here,
[tex]f(x)+g(x)=2x^2+3x +5x^2-2x-6[/tex]
[tex]f(x)+g(x)=7x^2+x-6[/tex] .
Since [tex]7x^2+x-6[/tex] is in option D, so the correct option is D.
Hence [tex]f(x)+g(x)=7x^2+x-6[/tex].
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