f(x) = 2x^2 - 3x + 4 and g(x) = 3x + 2, find the following . f(×) + g(x)?

To find f(x) + g(x), we first need to find f(x) and g(x) separately.

Given:
f(x) = 2x^2 - 3x + 4
g(x) = 3x + 2

Now, we can add f(x) and g(x) together:

f(x) + g(x) = (2x^2 - 3x + 4) + (3x + 2)
f(x) + g(x) = 2x^2 - 3x + 4 + 3x + 2
f(x) + g(x) = 2x^2 + 0x + 6

Therefore, f(x) + g(x) = 2x^2 + 6.

$$f(x) = 2x^2 - 3x \qquad \text{and} \qquad g(x) = 3x^2$$

So,

$$f(x) \cdot g(x) = (2x^2 - 3x) \cdot (3x^2) = 6x^4 - 9x^3$$