AnswersGA-GSE Pre-CalculusInverse of a Function

Inverse of a Function Answers

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1
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Let q(t) = 29t and r(t) = .Which method could be the first step in proving that q(t) and r(t) are inverse functions?

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A
Replace the t in the expression for q(t) with , and replace the t in the expression for r(t) with 29t.
Option A
B
Replace the 29t in the expression for q(t) with t, and replace the in the expression for r(t) with t.
Option B
C
Replace the t in the expression for q(t) with 29t, and replace the t in the expression for r(t) with .
Option C
D
Replace the 29t in the expression for q(t) with , and replace the in the expression for r(t) with 29t.
Option D
2
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For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?

A
Both the additive inverse and the multiplicative inverse are positive.
B
Both the additive inverse and the multiplicative inverse are negative.
C
The additive inverse is positive, while the multiplicative inverse is negative.
D
The additive inverse is negative, while the multiplicative inverse is positive.
3

The table shows several points for function h(x).

Question illustration
A
(0, 1)
B
(6, 3)
C
(9, –15)
D
(12, –8)
4

Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = .Which statement describes whether Chivonne is correct?

Question illustration
A
The expression for f–1(x) is correct, but the domain restriction is not.
B
The domain restriction is correct, but the expression for f–1(x) is not.
C
Both the expression for f–1(x) and the domain restriction are correct.
D
Neither the domain restriction nor the expression for f–1(x) is correct.

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