Question

(f(x) = 0.5x2 - 2) + (g(x) = 8x3 + 2)

Answer 1

`f ( x ) + g ( x ) = 8 x^3 + 0.5 x ^2`

Explanation:

We are given the following two functions and we are to find their sum:

`f ( x ) = 0.5 x ^ 2 - 2`

`g ( x ) = 8 x ^ 3 + 2`

Adding the two given functions to get:

`f ( x ) + g ( x ) = 0.5 x ^ 2 - 2 + 8 x ^ 3 + 2`

Rearranging them to solve further:

`f(x)+g(x) =8x^3+0.5x^2+2-2`

So finally we get:

`f(x)+g(x) =8x^3+0.5x^2`

Answer 2

Final answer is
`f(x)+g(x)=0.5x^2+8x^3`

Explanation:

Given functions are
`f\left(x\right)=0.5x^2-2` and
`g(x)=8x^3+2`

Now we need to add both functions:

`f(x)+g(x)`

`=(0.5x^2-2)+(8x^3+2)`

`=0.5x^2-2+8x^3+2`

`=0.5x^2+8x^3-2+2`

combine like terms -2 and +2

`=0.5x^2+8x^3`

Hence final answer is
`f(x)+g(x)=0.5x^2+8x^3`