Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
2 answers:
Given the function
The inverse of the function is calculated by changing f(x) to y and making x the subject of the formula as follows:
We now change back the variables to get the function in the form of inverse function as follows:
Comparing this with Talib's work, we can see that he is correct except for the last line where he did not change the variable y back to x.
Therefore, the last line of his work made his inverse not to be correct.
The inverse of the function is calculated by changing f(x) to y and making x the subject of the formula as follows:
We now change back the variables to get the function in the form of inverse function as follows:
Comparing this with Talib's work, we can see that he is correct except for the last line where he did not change the variable y back to x.
Therefore, the last line of his work made his inverse not to be correct.
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Answer:
Step by step
Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.
a)
, then its reference angle is
b)
is in the second cuadrant, then its reference angle is
c)
, then it is in the first cuadrant and the reference angle is
.
d)
and it is in the third cuadrant, then its reference angle is