function operations assignment

if f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?

-x^2 + x -1

(r/s)(3)=

2

f(x) = x g(x) = 1 What is the domain of ( fg ) (x)?

all real numbers

f(x) = x + 2 g(x) = x - 4 (f g)(x) =

x^2 - 2x - 8

h(x) = x2 + 1 k(x) = x - 2 (h + k)(2) =

5

r(x)= 2sqrtx s(x)= sqrtx (rs)(4)

8

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

1. x^2 - x +6 2. x^2 +x -4

evaluate 3h(2)+2k(3)=

17

f(x) = x g(x) = 1 What is the domain of ( gf ) (x)?

x≠0

(h-k)(3)=

9

select the graph that shows the correct sum

B

a company makes and sells charm bracelets. the cost of producing x bracelets is represented by the function c(x) = 180 + 8x. the revenue earned from selling x bracelets is represented by the function R(x) = 20x. write and simplify a function P that represents the profit made from selling x bracelets. how many bracelets must the company sell to break even?

Profit is revenue minus cost. p(x) = r(x)-c(x) or p(x)=20x-(180+8x) distribute & combine like terms p(x)=12x-180 the breakdown point is when p(x)=0 0=12x-180 180=12x x=15 they must sell 15 bracelets to break even