10
QuizMultiple Choice

Inverse of a Function — Unit test

Question 10 • GA-GSE Pre-Calculus

Which expression is undefined?

Answer
A
sin-1(1)
B
sin-1(–2)
C
cos-1(0)
D
cos-1(–1)

Explanation

The inverse sine function, sin⁻¹(x), is defined for inputs from −1 to 1, inclusive. Since −2 lies outside that domain, sin⁻¹(−2) is undefined. The other inputs, 1, 0, and −1, are all within the domain, so choice B, sin⁻¹(−2), is correct.

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