For f(x)=3x+1 and g(x)=x^2-6, find (f+g) (x).

Question

The revenue from selling x shirts is r(x) = 15x.
The cost of buying x shirts is c(x) = 7x + 20.

The profit from selling x shirts is p(x) = r(x) – c(x).


A. x^2+3x+7
B. x^2+3x-5
C. 3x^3-5
D. 3x^2-17

Answer 1

To find (f + g)(x), we need to add the two functions f(x) and g(x) together.

f(x) = 3x + 1
g(x) = x^2 - 6

(f + g)(x) = 3x + 1 + x^2 - 6
(f + g)(x) = x^2 + 3x - 5

Therefore, the answer is B. x^2 + 3x - 5

Next, to find the profit from selling x shirts, we subtract the cost from the revenue:

p(x) = r(x) - c(x)
p(x) = 15x - (7x + 20)
p(x) = 15x - 7x - 20
p(x) = 8x - 20

Therefore, the profit function is p(x) = 8x - 20.