Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
f(x) = x + 4
g(x) = x² - x
a) f(5)
f(5) = 5 + 4 = 9
b) g(-1)
g(-1) = (-1)² -(-1) = 1 + 1 = 2
c) f(x) = 10
10 = x + 4
x = 6
d) g(x) = 6
6 = x² - x
0 = x² - x - 6
0 = (x - 3)(x + 2)
x = 3, -2
We are given with the total number of library books of 66. 18 of these 66 books were classified as fiction while the remaining are non-fiction books. The ratio of non-Fiction to fiction can be determined by first finding out the number of non-fiction books. that is 66-18 or 48 books.The ratio then is 48/18 or 8/3.
