Graph the line that passes through the points (-1, -6) and (-8, 8) and determine the equation of the line.
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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: