Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?
1 answer:
Answer:
Alternative C is the correct answer
Step-by-step explanation:
The first step is to determine the composite function;
We then employ a graphing utility to determine the range and the domain of the new function.
The range is the set of y-values for which the function is defined. In this case it is;
On the other hand, the domain refers to the set of the x-values for which the function is real and defined. In this case; it is the set of real numbers x except x does not equal npi for all integers n.
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Answer:
Step-by-step explanation:
Given: △ABC, D∈AC , m∠BDC=m∠ABC , AD=7, DC=9.
Solution: Let BC=x, From the given figure and the given information, it can be seen that △ABC is similar to ΔBDC by AA rule, thus using the proportionality theorem, we get
⇒
⇒
⇒
⇒BC=12
Now, calculate the similarity scale,
k=
=
Therefore,
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