Question 1

If f(x) = 3x + 2, what is the inverse function, f⁻¹(x)?

Accepted Answer

f⁻¹(x) = (x - 2) / 3

Answer

f⁻¹(x) = 3x - 2

Answer

f⁻¹(x) = 2x + 3

Answer

f⁻¹(x) = (3x + 2)⁻¹

Question 2

If g(x) = x² for x ≥ 0, what is g⁻¹(x)?

Accepted Answer

g⁻¹(x) = √x

Answer

g⁻¹(x) = 2x

Answer

g⁻¹(x) = 1/x

Answer

g⁻¹(x) = x² + 1

Question 3

If h(x) = 2x - 4, what is the inverse function, h⁻¹(x)?

Accepted Answer

h⁻¹(x) = (x + 4) / 2

Answer

h⁻¹(x) = (2x - 4)⁻¹

Answer

h⁻¹(x) = 2x + 4

Answer

h⁻¹(x) = 4x - 2

Question 4

If f(x) = 5x - 7, what is the inverse function, f⁻¹(x)?

Accepted Answer

f⁻¹(x) = (x + 7) / 5

Answer

f⁻¹(x) = 7x - 5

Answer

f⁻¹(x) = (5x - 7)⁻¹

Answer

f⁻¹(x) = 5x + 7

Question 5

If the function f(x) = x^3 + 1, what is the inverse function, f⁻¹(x)?

Accepted Answer

f⁻¹(x) = ∛(x - 1)

Answer

f⁻¹(x) = x^3 - 1

Answer

f⁻¹(x) = (x + 1)^3

Answer

f⁻¹(x) = 3x^2 + 1

Question 6

What is the inverse of the ordered pair (3, -5)?

Accepted Answer

(-5, 3)

Answer

(-3, 5)

Answer

(3, 5)

Answer

(5, -3)

Question 7

What is the inverse of the ordered pair (-7, 4)?

Accepted Answer

(4, -7)

Answer

(7, -4)

Answer

(-4, 7)

Answer

(-7, -4)

Question 8

What is the inverse of the ordered pair (2, 9)?

Accepted Answer

(9, 2)

Answer

(-9, -2)

Answer

(-2, 9)

Answer

(2, -9)

Question 9

If a function f is one-to-one, what must be true about its inverse function f⁻¹?

Accepted Answer

f⁻¹ is also one-to-one

Answer

f⁻¹ is only defined for positive numbers

Answer

f⁻¹ is a quadratic function

Answer

f⁻¹ does not exist

Question 10

Which of the following functions is not one-to-one?

Accepted Answer

f(x) = x^2

Answer

f(x) = 3x + 1

Answer

f(x) = x^3

Answer

f(x) = ln(x)

Question 11

Which property must a one-to-one function satisfy?

Accepted Answer

For every two distinct inputs, the outputs must be distinct

Answer

The output values must all be positive

Answer

It must pass the Vertical Line Test

Answer

It must be a linear function

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