Evaluating the composition of Functions

The video tutorial explains how to find the composition of cosine and cosine inverse of pi. It begins by evaluating the innermost function, which is the inverse of pi. The instructor highlights that cosine of theta equals pi is not possible because pi is not within the domain of the inverse cosine function. The domain for inverse cosine requires input values between -1 and 1, and since pi does not meet this criterion, the composition is deemed undefined.

What is the first step in solving the composition of cosine and cosine inverse of pi?

• Evaluate the outermost function first

• Evaluate the innermost function first

• Directly find the cosine of pi

• Use a calculator to find the answer

Why can't cosine of theta equal pi?

• Pi is not a valid angle

• Cosine of pi is zero

• The unit circle does not have an x value of pi

• Pi is greater than 2

What is the domain of the inverse cosine function?

• All real numbers

• Values between 0 and 2

• Values greater than 1

• Values between -1 and 1

Why is the composition of cosine and cosine inverse of pi undefined?

• Pi is not a number

• Pi is not within the domain of the inverse cosine function

• Cosine inverse cannot be applied to pi

• The unit circle does not support pi

What must input values for the inverse cosine function fall between?

• 0 and 2

• 1 and 3

• -2 and 0

• -1 and 1