Which type of function is the result of adding a quadratic function and a linear function?

Question

David Garza

Mathematics

9 March, 20:26

Which type of function is the result of adding a quadratic function and a linear function?

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Answers (1)

Know the Answer?

Gustavo Combs · Answer 1

Always Quadratic

Explanation:

Let f (x) = a x2 + bx+c (with a≠0),

and let g (x) = dx + e.

Then (f+g) (x) = a x2 + (b+d) x + (c+e).

Since a≠0, this is quadratic every time.