Question

If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).

Answer 1

Answer: B. $2x^2 + \frac{3x}{2} - 5$

Step-by-step explanation:

Here, the given functions are,

$f(x) = \frac{x}{2} - 2$

$g(x) = 2x^2 + x - 3$

$(f+g)x = f(x) + g(x)$

$(f+g)x=\frac{x}{2} - 2 + 2x^2 + x - 3$

$(f+g)x=\frac{3x}{2} - 5 + 2x^2$

$(f+g)x=2x^2 + \frac{3x}{2} - 5$

Option B is correct.

Answer 2

Add all the corresponding parts of each function. The degree of x determines which correspond.

2x^2 (degree 2)
x + x/2 (degree 1)
-3-2 (degree 0)

So you get B
2x^2 + 3x/2 - 5