Huxian's father gives her $120 as her monthly allowance. a) If she spends an average of 5 dollars a day, find the amount on mone
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Solution for f(g(5)):
The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:
Step 1: Plugging 5 to g(x)
Step 2: Plugging the answer to f(x)
ANSWER: f(g(5)) is equal to 3.
Domain:
For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.
However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.
ANSWER: The domain of the function is all real numbers.
The average rate of change of a function f(x) in an interval, a < x < b is given by
Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by
2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by
3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by
4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by
5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by
6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by
2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by
3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by
4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by
5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by
6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
