It has been estimated that a student’s final grade in a course decreases by 5 points for every 2 days absent from class. If a st
1 answer:
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➣ Assignment:
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➣ Answer:
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Explanation: ↓↓↓↓↓
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➤ [ Step One ] Follow PEMDAS Order Of Operations
➤ [ Step Two ] Rewrite Equation
➤ [ Step Three ] Calculate Within Parenthesis
➤ [ Step Four ] Rewrite Equation
➤ [ Step Five ] Multiply
➤ [ Step Six ] Rewrite Equation
➤ [ Step Seven ] Calculate Exponents
➤ [ Step Eight ] Rewrite Equation
➤ [ Step Nine ] Solve
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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: