We are given the two functions:
f(x) = 2x + 7
g(x) = 6x – 5
Part A. Find (f + g)(x)
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 2 x + 7 + 6 x – 5
(f + g)(x) = 8 x + 2
Part B. Find (f ⋅ g)(x)
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f ⋅ g)(x) = (2 x + 7) (6 x – 5)
(f ⋅ g)(x) = 12 x^2 – 10 x + 42 x – 35
(f ⋅ g)(x) = 12 x^2 + 32 x – 35
Part C. Find
f[g(x)]
f[g(x)] = 2 (6
x – 5) + 7
f[g(x)] = 12 x
– 10 + 7
f[g(x)] = 12 x
- 3
B. the function of the graph approaches positive and negative infinity at x = -1
Answer:
Total profit = $106
Profit made from hats = $34
Therefore to find the number of t-shirts sold
Total profit - Profit from hats = Profit from shirts
$106 - $34 = $72
And the made $4 from selling one shirt so to find the number of t-shirts sold,
*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts
therefore, $72/$4= 18.
Therefore, Goran sold 18 t-shirts.
21 is 28% of <u>75</u><u /> because 21x100/28, which will give you the answer