Question

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

Answer 1

Answer:

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

Step-by-step 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 $f(x)+g(x)=0.5x^2+8x^3$

Answer 2

Answer:

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

Step-by-step 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:

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