These seem tough, but they are not that bad.
(f o g)(x)
That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals)
Here is a visual representation of it.
(f o g)(x) = 2(9x + (3/2)) - (3/9)
We need to distribute the 2 to everything inside the parenthesis.
(f o g)(x) = 18x + (6/2) - (3/9)
Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions.
(f o g)(x) = 18x + (3) - (1/3)
(f o g)(x) = 18x + (9/3) - (1/3)
Combine like terms.
(f o g)(x) = 18x + (8/3)
Our final answer is:
(f o g)(x) = 18x + 8/3
To find the miles Michael rode, we can simply add up the miles he rode for both day:
Therefore the answer is 4 1/2 miles.
Hope it helps!
Both the numerator and denominator are divisible by 4, meaning that when they are both divided by this number they wll be in their simplest form.
e.g. 8/4=2 and 20/4=5
Therefore the simplest form is 2/5
Answer:
(n+5)² - (n+3)² =
= (n² + 10n + 25) - (n² + 6n + 9)
= n² + 10n + 25 - n² - 6n - 9
= 4n + 16
= 4(n + 4) ⋮ 4
