a plane with a heading of 130° from north and an air speed of 100 km/hr, encounters a wind of 25 km/hr from the west. find the g
1 answer:
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Set up an inequality:
x-8
17
x25
x-8
x
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: