Question

What is (f+g)(x)?

f(x)=x^2−36

g(x)=x^3+2x^2−10



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Answer 1

`(f+g)(x)=x^(3)+3x^(2) -46`

Explanation:

The given functions are

`f(x)=x^(2) -36\\g(x)=x^(3)+2x^(2) -10`

Now, the operation
`(f+g)(x)` indicates that we need to sum these functions. As polynomials, we can sum terms with equal grade. so,

`(f+g)(x)=x^(3) +(2+1)x^(2) -10-36=x^(3)+3x^(2) -46`

Therefore, the answer is
`(f+g)(x)=x^(3)+3x^(2) -46`

Answer 2

(f+g)(x) = x^3 + 3x^2 - 46.

Explanation:

(f+g)(x) means to add the like terms in each function together.

So (f+g)(x) = x^2 - 36 + x^3 + 2x^2 - 10 = x^3 + 3x^2 - 46

So (f+g)(x) = x^3 + 3x^2 - 46.