Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it ta
ke for Erin to run 25 miles?
2 answers:
Answer:
2½ h
Step-by-step explanation:
Assume the graph is like the one below.
The graph shows how Erin's distance varies with time.
To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.
From there, draw a horizontal line until it hits the graph.
Then drop a vertical line to the horizontal axis.
It hits half-way between 2 and 3.
It takes Erin 2½ h to run 25 mi.
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Answer:
ℝ - {(-2/3),(3/2)}
Step-by-step explanation:
We want the domain of f(g(x)). So, firstly, we have to find the domain for g(x) and, then, for f(g(x)).
- Domain of g(x): Since the expression is a fracion, we must exclude the values of x that make null the denominator. Hence,
- Domain of f(g(x)): We'll find its expression:
Now, once again, we have to exclude the values of x that make the denominator equals to zero. Thus,
Lastly, we may write the domanin of f(g(x)):
or, just writing in a shorter way: