Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain
1 answer:
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.
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Answer:
Yes, there is one outlier (lower)
Step-by-step explanation:
Looking at the distribution of the lower/smallest observation, we can see that there is a values in the lower/smallest that is very far from others. See the attached box-plot for understanding.
The median is the line in the middle of the box-plot.
The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile and the upper box line (just above the median) is 3rd quartile.
